[1139] | 1 | // |
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| 2 | // Lol Engine |
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| 3 | // |
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| 4 | // Copyright: (c) 2010-2012 Sam Hocevar <sam@hocevar.net> |
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| 5 | // This program is free software; you can redistribute it and/or |
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| 6 | // modify it under the terms of the Do What The Fuck You Want To |
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| 7 | // Public License, Version 2, as published by Sam Hocevar. See |
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| 8 | // http://sam.zoy.org/projects/COPYING.WTFPL for more details. |
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| 9 | // |
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| 10 | |
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| 11 | // |
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| 12 | // The vector, complex, quaternion and matrix classes |
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| 13 | // -------------------------------------------------- |
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| 14 | // |
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| 15 | |
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| 16 | #if !defined __LOL_MATH_VECTOR_H__ |
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| 17 | #define __LOL_MATH_VECTOR_H__ |
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| 18 | |
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| 19 | #include <stdint.h> |
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[1401] | 20 | #include <ostream> |
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[1139] | 21 | |
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[1513] | 22 | #include "lol/math/math.h" |
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[1160] | 23 | #include "lol/math/half.h" |
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[1148] | 24 | #include "lol/math/real.h" |
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| 25 | |
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[1139] | 26 | namespace lol |
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| 27 | { |
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| 28 | |
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[1154] | 29 | /* Some compilers do not support const members in anonymous unions. So |
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| 30 | * far, GCC (>= 4.6), CLang (3.0) and Visual Studio (>= 2010) appear to |
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| 31 | * work properly. */ |
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| 32 | #undef LOL_NO_CONST_MEMBERS_IN_ANONYMOUS_UNIONS |
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| 33 | #if defined __GNUC__ && (__GNUC__ < 4 || (__GNUC__ == 4 && __GNUC_MINOR__ < 6)) |
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| 34 | # define LOL_NO_CONST_MEMBERS_IN_ANONYMOUS_UNIONS 1 |
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| 35 | #endif |
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| 36 | |
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[2081] | 37 | #define LOL_VECTOR_TYPEDEFS(tname, suffix) \ |
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[1139] | 38 | template <typename T> struct tname; \ |
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| 39 | typedef tname<half> f16##suffix; \ |
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| 40 | typedef tname<float> suffix; \ |
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[1426] | 41 | typedef tname<double> d##suffix; \ |
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[2056] | 42 | typedef tname<ldouble> f128##suffix; \ |
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[1139] | 43 | typedef tname<int8_t> i8##suffix; \ |
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| 44 | typedef tname<uint8_t> u8##suffix; \ |
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| 45 | typedef tname<int16_t> i16##suffix; \ |
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| 46 | typedef tname<uint16_t> u16##suffix; \ |
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| 47 | typedef tname<int32_t> i##suffix; \ |
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| 48 | typedef tname<uint32_t> u##suffix; \ |
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| 49 | typedef tname<int64_t> i64##suffix; \ |
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[1148] | 50 | typedef tname<uint64_t> u64##suffix; \ |
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| 51 | typedef tname<real> r##suffix; \ |
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[1139] | 52 | |
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[2081] | 53 | LOL_VECTOR_TYPEDEFS(Vec2, vec2) |
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| 54 | LOL_VECTOR_TYPEDEFS(Cmplx, cmplx) |
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| 55 | LOL_VECTOR_TYPEDEFS(Vec3, vec3) |
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| 56 | LOL_VECTOR_TYPEDEFS(Vec4, vec4) |
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| 57 | LOL_VECTOR_TYPEDEFS(Quat, quat) |
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| 58 | LOL_VECTOR_TYPEDEFS(Mat2, mat2) |
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| 59 | LOL_VECTOR_TYPEDEFS(Mat3, mat3) |
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| 60 | LOL_VECTOR_TYPEDEFS(Mat4, mat4) |
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[1139] | 61 | |
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[2081] | 62 | #undef LOL_VECTOR_TYPEDEFS |
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| 63 | |
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[1139] | 64 | /* |
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[1405] | 65 | * HLSL/Cg-compliant type names. |
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| 66 | */ |
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| 67 | |
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| 68 | typedef vec2 float2; |
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| 69 | typedef vec3 float3; |
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| 70 | typedef vec4 float4; |
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| 71 | typedef mat2 float2x2; |
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| 72 | typedef mat3 float3x3; |
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| 73 | typedef mat4 float4x4; |
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| 74 | |
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| 75 | typedef ivec2 int2; |
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| 76 | typedef ivec3 int3; |
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| 77 | typedef ivec4 int4; |
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| 78 | typedef imat2 int2x2; |
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| 79 | typedef imat3 int3x3; |
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| 80 | typedef imat4 int4x4; |
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| 81 | |
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| 82 | /* |
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[1139] | 83 | * Magic vector swizzling (part 1/2) |
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[1158] | 84 | * These vectors are empty, but thanks to static_cast we can take their |
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| 85 | * address and access the vector of T's that they are union'ed with. We |
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| 86 | * use static_cast instead of reinterpret_cast because there is a stronger |
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| 87 | * guarantee (by the standard) that the address will stay the same across |
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| 88 | * casts. |
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[1139] | 89 | */ |
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| 90 | |
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| 91 | template<typename T, int N> struct XVec2 |
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| 92 | { |
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[1142] | 93 | inline Vec2<T> operator =(Vec2<T> const &that); |
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[1139] | 94 | |
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[1209] | 95 | inline T& operator[](size_t n) |
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[1158] | 96 | { |
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| 97 | int i = (N >> (4 * (1 - n))) & 3; |
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| 98 | return static_cast<T*>(static_cast<void*>(this))[i]; |
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| 99 | } |
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[1209] | 100 | inline T const& operator[](size_t n) const |
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[1158] | 101 | { |
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| 102 | int i = (N >> (4 * (1 - n))) & 3; |
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| 103 | return static_cast<T const*>(static_cast<void const *>(this))[i]; |
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| 104 | } |
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[1139] | 105 | }; |
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| 106 | |
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| 107 | template<typename T, int N> struct XVec3 |
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| 108 | { |
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[1142] | 109 | inline Vec3<T> operator =(Vec3<T> const &that); |
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[1139] | 110 | |
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[1209] | 111 | inline T& operator[](size_t n) |
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[1158] | 112 | { |
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| 113 | int i = (N >> (4 * (2 - n))) & 3; |
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| 114 | return static_cast<T*>(static_cast<void*>(this))[i]; |
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| 115 | } |
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[1209] | 116 | inline T const& operator[](size_t n) const |
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[1158] | 117 | { |
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| 118 | int i = (N >> (4 * (2 - n))) & 3; |
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| 119 | return static_cast<T const*>(static_cast<void const *>(this))[i]; |
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| 120 | } |
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[1139] | 121 | }; |
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| 122 | |
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| 123 | template<typename T, int N> struct XVec4 |
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| 124 | { |
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[1142] | 125 | inline Vec4<T> operator =(Vec4<T> const &that); |
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[1139] | 126 | |
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[1209] | 127 | inline T& operator[](size_t n) |
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[1158] | 128 | { |
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| 129 | int i = (N >> (4 * (3 - n))) & 3; |
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| 130 | return static_cast<T*>(static_cast<void*>(this))[i]; |
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| 131 | } |
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[1209] | 132 | inline T const& operator[](size_t n) const |
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[1158] | 133 | { |
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| 134 | int i = (N >> (4 * (3 - n))) & 3; |
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| 135 | return static_cast<T const*>(static_cast<void const *>(this))[i]; |
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| 136 | } |
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[1139] | 137 | }; |
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| 138 | |
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| 139 | /* |
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| 140 | * Helper macro for vector type member functions |
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| 141 | */ |
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| 142 | |
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[2081] | 143 | #define LOL_MEMBER_OPS(tname, first) \ |
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[1351] | 144 | inline T& operator[](size_t n) { return *(&this->first + n); } \ |
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| 145 | inline T const& operator[](size_t n) const { return *(&this->first + n); } \ |
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[1139] | 146 | \ |
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[1149] | 147 | /* Visual Studio insists on having an assignment operator. */ \ |
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| 148 | inline tname<T> const & operator =(tname<T> const &that) \ |
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| 149 | { \ |
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| 150 | for (size_t n = 0; n < sizeof(*this) / sizeof(T); n++) \ |
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| 151 | (*this)[n] = that[n]; \ |
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| 152 | return *this; \ |
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| 153 | } \ |
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[1139] | 154 | \ |
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| 155 | template<typename U> \ |
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| 156 | inline operator tname<U>() const \ |
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| 157 | { \ |
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| 158 | tname<U> ret; \ |
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| 159 | for (size_t n = 0; n < sizeof(*this) / sizeof(T); n++) \ |
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| 160 | ret[n] = static_cast<U>((*this)[n]); \ |
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| 161 | return ret; \ |
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[1149] | 162 | } \ |
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| 163 | \ |
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| 164 | void printf() const; |
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[1139] | 165 | |
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| 166 | /* |
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| 167 | * 2-element vectors |
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| 168 | */ |
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| 169 | |
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[1148] | 170 | template <typename T> struct BVec2 |
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[1139] | 171 | { |
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[1148] | 172 | explicit inline BVec2() {} |
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| 173 | explicit inline BVec2(T X, T Y) : x(X), y(Y) {} |
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[1139] | 174 | |
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| 175 | union |
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| 176 | { |
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| 177 | struct { T x, y; }; |
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| 178 | struct { T r, g; }; |
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| 179 | struct { T s, t; }; |
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| 180 | |
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[1154] | 181 | #if LOL_NO_CONST_MEMBERS_IN_ANONYMOUS_UNIONS |
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| 182 | # define const /* disabled */ |
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| 183 | #endif |
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[2179] | 184 | #if !_DOXYGEN_SKIP_ME |
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[1141] | 185 | XVec2<T,0x00> const xx, rr, ss; |
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[1143] | 186 | XVec2<T,0x01> const xy, rg, st; /* lvalue */ |
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| 187 | XVec2<T,0x10> const yx, gr, ts; /* lvalue */ |
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[1141] | 188 | XVec2<T,0x11> const yy, gg, tt; |
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[1139] | 189 | |
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[1141] | 190 | XVec3<T,0x000> const xxx, rrr, sss; |
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| 191 | XVec3<T,0x001> const xxy, rrg, sst; |
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| 192 | XVec3<T,0x010> const xyx, rgr, sts; |
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| 193 | XVec3<T,0x011> const xyy, rgg, stt; |
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| 194 | XVec3<T,0x100> const yxx, grr, tss; |
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| 195 | XVec3<T,0x101> const yxy, grg, tst; |
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| 196 | XVec3<T,0x110> const yyx, ggr, tts; |
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| 197 | XVec3<T,0x111> const yyy, ggg, ttt; |
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[1139] | 198 | |
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[1141] | 199 | XVec4<T,0x0000> const xxxx, rrrr, ssss; |
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| 200 | XVec4<T,0x0001> const xxxy, rrrg, ssst; |
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| 201 | XVec4<T,0x0010> const xxyx, rrgr, ssts; |
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| 202 | XVec4<T,0x0011> const xxyy, rrgg, sstt; |
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| 203 | XVec4<T,0x0100> const xyxx, rgrr, stss; |
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| 204 | XVec4<T,0x0101> const xyxy, rgrg, stst; |
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| 205 | XVec4<T,0x0110> const xyyx, rggr, stts; |
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| 206 | XVec4<T,0x0111> const xyyy, rggg, sttt; |
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| 207 | XVec4<T,0x1000> const yxxx, grrr, tsss; |
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| 208 | XVec4<T,0x1001> const yxxy, grrg, tsst; |
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| 209 | XVec4<T,0x1010> const yxyx, grgr, tsts; |
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| 210 | XVec4<T,0x1011> const yxyy, grgg, tstt; |
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| 211 | XVec4<T,0x1100> const yyxx, ggrr, ttss; |
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| 212 | XVec4<T,0x1101> const yyxy, ggrg, ttst; |
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| 213 | XVec4<T,0x1110> const yyyx, gggr, ttts; |
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| 214 | XVec4<T,0x1111> const yyyy, gggg, tttt; |
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[2179] | 215 | #endif |
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[1154] | 216 | #if LOL_NO_CONST_MEMBERS_IN_ANONYMOUS_UNIONS |
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| 217 | # undef const |
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| 218 | #endif |
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[1139] | 219 | }; |
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| 220 | }; |
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| 221 | |
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[1148] | 222 | template <> struct BVec2<half> |
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| 223 | { |
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| 224 | explicit inline BVec2() {} |
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| 225 | explicit inline BVec2(half X, half Y) : x(X), y(Y) {} |
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| 226 | |
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| 227 | half x, y; |
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| 228 | }; |
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| 229 | |
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| 230 | template <> struct BVec2<real> |
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| 231 | { |
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| 232 | explicit inline BVec2() {} |
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| 233 | explicit inline BVec2(real X, real Y) : x(X), y(Y) {} |
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| 234 | |
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| 235 | real x, y; |
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| 236 | }; |
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| 237 | |
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| 238 | template <typename T> struct Vec2 : BVec2<T> |
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| 239 | { |
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| 240 | inline Vec2() {} |
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| 241 | inline Vec2(T X, T Y) : BVec2<T>(X, Y) {} |
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| 242 | |
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| 243 | explicit inline Vec2(T X) : BVec2<T>(X, X) {} |
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| 244 | |
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| 245 | template<int N> |
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| 246 | inline Vec2(XVec2<T, N> const &v) |
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[1158] | 247 | : BVec2<T>(v[0], v[1]) {} |
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[1148] | 248 | |
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| 249 | template<typename U, int N> |
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| 250 | explicit inline Vec2(XVec2<U, N> const &v) |
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[1158] | 251 | : BVec2<T>(v[0], v[1]) {} |
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[1148] | 252 | |
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[2081] | 253 | LOL_MEMBER_OPS(Vec2, x) |
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[1148] | 254 | |
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| 255 | template<typename U> |
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| 256 | friend std::ostream &operator<<(std::ostream &stream, Vec2<U> const &v); |
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| 257 | }; |
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| 258 | |
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[1139] | 259 | /* |
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| 260 | * 2-element complexes |
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| 261 | */ |
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| 262 | |
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| 263 | template <typename T> struct Cmplx |
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| 264 | { |
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| 265 | inline Cmplx() {} |
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| 266 | inline Cmplx(T X) : x(X), y(0) {} |
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| 267 | inline Cmplx(T X, T Y) : x(X), y(Y) {} |
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| 268 | |
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[2081] | 269 | LOL_MEMBER_OPS(Cmplx, x) |
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[1139] | 270 | |
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| 271 | inline Cmplx<T> operator *(Cmplx<T> const &val) const |
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| 272 | { |
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| 273 | return Cmplx<T>(x * val.x - y * val.y, x * val.y + y * val.x); |
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| 274 | } |
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| 275 | |
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| 276 | inline Cmplx<T> operator *=(Cmplx<T> const &val) |
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| 277 | { |
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| 278 | return *this = (*this) * val; |
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| 279 | } |
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| 280 | |
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| 281 | inline Cmplx<T> operator ~() const |
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| 282 | { |
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| 283 | return Cmplx<T>(x, -y); |
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| 284 | } |
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| 285 | |
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[1369] | 286 | inline T norm() const { return length(*this); } |
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[1139] | 287 | template<typename U> |
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| 288 | friend std::ostream &operator<<(std::ostream &stream, Cmplx<U> const &v); |
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| 289 | |
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| 290 | T x, y; |
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| 291 | }; |
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| 292 | |
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| 293 | template<typename T> |
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| 294 | static inline Cmplx<T> re(Cmplx<T> const &val) |
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| 295 | { |
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[1369] | 296 | return ~val / sqlength(val); |
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[1139] | 297 | } |
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| 298 | |
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| 299 | template<typename T> |
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| 300 | static inline Cmplx<T> operator /(T a, Cmplx<T> const &b) |
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| 301 | { |
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| 302 | return a * re(b); |
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| 303 | } |
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| 304 | |
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| 305 | template<typename T> |
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| 306 | static inline Cmplx<T> operator /(Cmplx<T> a, Cmplx<T> const &b) |
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| 307 | { |
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| 308 | return a * re(b); |
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| 309 | } |
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| 310 | |
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| 311 | template<typename T> |
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| 312 | static inline bool operator ==(Cmplx<T> const &a, T b) |
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| 313 | { |
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| 314 | return (a.x == b) && !a.y; |
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| 315 | } |
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| 316 | |
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| 317 | template<typename T> |
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| 318 | static inline bool operator !=(Cmplx<T> const &a, T b) |
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| 319 | { |
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| 320 | return (a.x != b) || a.y; |
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| 321 | } |
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| 322 | |
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| 323 | template<typename T> |
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| 324 | static inline bool operator ==(T a, Cmplx<T> const &b) { return b == a; } |
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| 325 | |
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| 326 | template<typename T> |
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| 327 | static inline bool operator !=(T a, Cmplx<T> const &b) { return b != a; } |
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| 328 | |
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| 329 | /* |
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| 330 | * 3-element vectors |
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| 331 | */ |
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| 332 | |
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[1148] | 333 | template <typename T> struct BVec3 |
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[1139] | 334 | { |
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[1148] | 335 | explicit inline BVec3() {} |
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| 336 | explicit inline BVec3(T X, T Y, T Z) : x(X), y(Y), z(Z) {} |
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[1139] | 337 | |
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| 338 | union |
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| 339 | { |
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| 340 | struct { T x, y, z; }; |
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| 341 | struct { T r, g, b; }; |
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| 342 | struct { T s, t, p; }; |
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| 343 | |
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[1154] | 344 | #if LOL_NO_CONST_MEMBERS_IN_ANONYMOUS_UNIONS |
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| 345 | # define const /* disabled */ |
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| 346 | #endif |
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[2179] | 347 | #if !_DOXYGEN_SKIP_ME |
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[1141] | 348 | XVec2<T,0x00> const xx, rr, ss; |
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[1143] | 349 | XVec2<T,0x01> const xy, rg, st; /* lvalue */ |
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| 350 | XVec2<T,0x02> const xz, rb, sp; /* lvalue */ |
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| 351 | XVec2<T,0x10> const yx, gr, ts; /* lvalue */ |
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[1141] | 352 | XVec2<T,0x11> const yy, gg, tt; |
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[1143] | 353 | XVec2<T,0x12> const yz, gb, tp; /* lvalue */ |
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| 354 | XVec2<T,0x20> const zx, br, ps; /* lvalue */ |
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| 355 | XVec2<T,0x21> const zy, bg, pt; /* lvalue */ |
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[1141] | 356 | XVec2<T,0x22> const zz, bb, pp; |
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[1139] | 357 | |
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[1141] | 358 | XVec3<T,0x000> const xxx, rrr, sss; |
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| 359 | XVec3<T,0x001> const xxy, rrg, sst; |
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| 360 | XVec3<T,0x002> const xxz, rrb, ssp; |
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| 361 | XVec3<T,0x010> const xyx, rgr, sts; |
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| 362 | XVec3<T,0x011> const xyy, rgg, stt; |
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[1143] | 363 | XVec3<T,0x012> const xyz, rgb, stp; /* lvalue */ |
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[1141] | 364 | XVec3<T,0x020> const xzx, rbr, sps; |
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[1143] | 365 | XVec3<T,0x021> const xzy, rbg, spt; /* lvalue */ |
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[1141] | 366 | XVec3<T,0x022> const xzz, rbb, spp; |
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| 367 | XVec3<T,0x100> const yxx, grr, tss; |
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| 368 | XVec3<T,0x101> const yxy, grg, tst; |
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[1143] | 369 | XVec3<T,0x102> const yxz, grb, tsp; /* lvalue */ |
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[1141] | 370 | XVec3<T,0x110> const yyx, ggr, tts; |
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| 371 | XVec3<T,0x111> const yyy, ggg, ttt; |
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| 372 | XVec3<T,0x112> const yyz, ggb, ttp; |
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[1143] | 373 | XVec3<T,0x120> const yzx, gbr, tps; /* lvalue */ |
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[1141] | 374 | XVec3<T,0x121> const yzy, gbg, tpt; |
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| 375 | XVec3<T,0x122> const yzz, gbb, tpp; |
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| 376 | XVec3<T,0x200> const zxx, brr, pss; |
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[1143] | 377 | XVec3<T,0x201> const zxy, brg, pst; /* lvalue */ |
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[1141] | 378 | XVec3<T,0x202> const zxz, brb, psp; |
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[1143] | 379 | XVec3<T,0x210> const zyx, bgr, pts; /* lvalue */ |
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[1141] | 380 | XVec3<T,0x211> const zyy, bgg, ptt; |
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| 381 | XVec3<T,0x212> const zyz, bgb, ptp; |
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| 382 | XVec3<T,0x220> const zzx, bbr, pps; |
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| 383 | XVec3<T,0x221> const zzy, bbg, ppt; |
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| 384 | XVec3<T,0x222> const zzz, bbb, ppp; |
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[1139] | 385 | |
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[1141] | 386 | XVec4<T,0x0000> const xxxx, rrrr, ssss; |
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| 387 | XVec4<T,0x0001> const xxxy, rrrg, ssst; |
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| 388 | XVec4<T,0x0002> const xxxz, rrrb, sssp; |
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| 389 | XVec4<T,0x0010> const xxyx, rrgr, ssts; |
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| 390 | XVec4<T,0x0011> const xxyy, rrgg, sstt; |
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| 391 | XVec4<T,0x0012> const xxyz, rrgb, sstp; |
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| 392 | XVec4<T,0x0020> const xxzx, rrbr, ssps; |
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| 393 | XVec4<T,0x0021> const xxzy, rrbg, sspt; |
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| 394 | XVec4<T,0x0022> const xxzz, rrbb, sspp; |
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| 395 | XVec4<T,0x0100> const xyxx, rgrr, stss; |
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| 396 | XVec4<T,0x0101> const xyxy, rgrg, stst; |
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| 397 | XVec4<T,0x0102> const xyxz, rgrb, stsp; |
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| 398 | XVec4<T,0x0110> const xyyx, rggr, stts; |
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| 399 | XVec4<T,0x0111> const xyyy, rggg, sttt; |
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| 400 | XVec4<T,0x0112> const xyyz, rggb, sttp; |
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| 401 | XVec4<T,0x0120> const xyzx, rgbr, stps; |
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| 402 | XVec4<T,0x0121> const xyzy, rgbg, stpt; |
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| 403 | XVec4<T,0x0122> const xyzz, rgbb, stpp; |
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| 404 | XVec4<T,0x0200> const xzxx, rbrr, spss; |
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| 405 | XVec4<T,0x0201> const xzxy, rbrg, spst; |
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| 406 | XVec4<T,0x0202> const xzxz, rbrb, spsp; |
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| 407 | XVec4<T,0x0210> const xzyx, rbgr, spts; |
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| 408 | XVec4<T,0x0211> const xzyy, rbgg, sptt; |
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| 409 | XVec4<T,0x0212> const xzyz, rbgb, sptp; |
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| 410 | XVec4<T,0x0220> const xzzx, rbbr, spps; |
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| 411 | XVec4<T,0x0221> const xzzy, rbbg, sppt; |
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| 412 | XVec4<T,0x0222> const xzzz, rbbb, sppp; |
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| 413 | XVec4<T,0x1000> const yxxx, grrr, tsss; |
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| 414 | XVec4<T,0x1001> const yxxy, grrg, tsst; |
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| 415 | XVec4<T,0x1002> const yxxz, grrb, tssp; |
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| 416 | XVec4<T,0x1010> const yxyx, grgr, tsts; |
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| 417 | XVec4<T,0x1011> const yxyy, grgg, tstt; |
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| 418 | XVec4<T,0x1012> const yxyz, grgb, tstp; |
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| 419 | XVec4<T,0x1020> const yxzx, grbr, tsps; |
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| 420 | XVec4<T,0x1021> const yxzy, grbg, tspt; |
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| 421 | XVec4<T,0x1022> const yxzz, grbb, tspp; |
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| 422 | XVec4<T,0x1100> const yyxx, ggrr, ttss; |
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| 423 | XVec4<T,0x1101> const yyxy, ggrg, ttst; |
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| 424 | XVec4<T,0x1102> const yyxz, ggrb, ttsp; |
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| 425 | XVec4<T,0x1110> const yyyx, gggr, ttts; |
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| 426 | XVec4<T,0x1111> const yyyy, gggg, tttt; |
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| 427 | XVec4<T,0x1112> const yyyz, gggb, tttp; |
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| 428 | XVec4<T,0x1120> const yyzx, ggbr, ttps; |
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| 429 | XVec4<T,0x1121> const yyzy, ggbg, ttpt; |
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| 430 | XVec4<T,0x1122> const yyzz, ggbb, ttpp; |
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| 431 | XVec4<T,0x1200> const yzxx, gbrr, tpss; |
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| 432 | XVec4<T,0x1201> const yzxy, gbrg, tpst; |
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| 433 | XVec4<T,0x1202> const yzxz, gbrb, tpsp; |
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| 434 | XVec4<T,0x1210> const yzyx, gbgr, tpts; |
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| 435 | XVec4<T,0x1211> const yzyy, gbgg, tptt; |
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| 436 | XVec4<T,0x1212> const yzyz, gbgb, tptp; |
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| 437 | XVec4<T,0x1220> const yzzx, gbbr, tpps; |
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| 438 | XVec4<T,0x1221> const yzzy, gbbg, tppt; |
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| 439 | XVec4<T,0x1222> const yzzz, gbbb, tppp; |
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| 440 | XVec4<T,0x2000> const zxxx, brrr, psss; |
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| 441 | XVec4<T,0x2001> const zxxy, brrg, psst; |
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| 442 | XVec4<T,0x2002> const zxxz, brrb, pssp; |
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| 443 | XVec4<T,0x2010> const zxyx, brgr, psts; |
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| 444 | XVec4<T,0x2011> const zxyy, brgg, pstt; |
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| 445 | XVec4<T,0x2012> const zxyz, brgb, pstp; |
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| 446 | XVec4<T,0x2020> const zxzx, brbr, psps; |
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| 447 | XVec4<T,0x2021> const zxzy, brbg, pspt; |
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| 448 | XVec4<T,0x2022> const zxzz, brbb, pspp; |
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| 449 | XVec4<T,0x2100> const zyxx, bgrr, ptss; |
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| 450 | XVec4<T,0x2101> const zyxy, bgrg, ptst; |
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| 451 | XVec4<T,0x2102> const zyxz, bgrb, ptsp; |
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| 452 | XVec4<T,0x2110> const zyyx, bggr, ptts; |
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| 453 | XVec4<T,0x2111> const zyyy, bggg, pttt; |
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| 454 | XVec4<T,0x2112> const zyyz, bggb, pttp; |
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| 455 | XVec4<T,0x2120> const zyzx, bgbr, ptps; |
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| 456 | XVec4<T,0x2121> const zyzy, bgbg, ptpt; |
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| 457 | XVec4<T,0x2122> const zyzz, bgbb, ptpp; |
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| 458 | XVec4<T,0x2200> const zzxx, bbrr, ppss; |
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| 459 | XVec4<T,0x2201> const zzxy, bbrg, ppst; |
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| 460 | XVec4<T,0x2202> const zzxz, bbrb, ppsp; |
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| 461 | XVec4<T,0x2210> const zzyx, bbgr, ppts; |
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| 462 | XVec4<T,0x2211> const zzyy, bbgg, pptt; |
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| 463 | XVec4<T,0x2212> const zzyz, bbgb, pptp; |
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| 464 | XVec4<T,0x2220> const zzzx, bbbr, ppps; |
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| 465 | XVec4<T,0x2221> const zzzy, bbbg, pppt; |
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| 466 | XVec4<T,0x2222> const zzzz, bbbb, pppp; |
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[2179] | 467 | #endif |
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[1154] | 468 | #if LOL_NO_CONST_MEMBERS_IN_ANONYMOUS_UNIONS |
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| 469 | # undef const |
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| 470 | #endif |
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[1139] | 471 | }; |
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| 472 | }; |
---|
| 473 | |
---|
[1148] | 474 | template <> struct BVec3<half> |
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| 475 | { |
---|
| 476 | explicit inline BVec3() {} |
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| 477 | explicit inline BVec3(half X, half Y, half Z) : x(X), y(Y), z(Z) {} |
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[1139] | 478 | |
---|
[1148] | 479 | half x, y, z; |
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| 480 | }; |
---|
| 481 | |
---|
| 482 | template <> struct BVec3<real> |
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[1139] | 483 | { |
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[1148] | 484 | explicit inline BVec3() {} |
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| 485 | explicit inline BVec3(real X, real Y, real Z) : x(X), y(Y), z(Z) {} |
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[1139] | 486 | |
---|
[1148] | 487 | real x, y, z; |
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| 488 | }; |
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[1139] | 489 | |
---|
[1148] | 490 | template <typename T> struct Vec3 : BVec3<T> |
---|
| 491 | { |
---|
| 492 | inline Vec3() {} |
---|
| 493 | inline Vec3(T X, T Y, T Z) : BVec3<T>(X, Y, Z) {} |
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| 494 | inline Vec3(Vec2<T> XY, T Z) : BVec3<T>(XY.x, XY.y, Z) {} |
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| 495 | inline Vec3(T X, Vec2<T> YZ) : BVec3<T>(X, YZ.x, YZ.y) {} |
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| 496 | |
---|
| 497 | explicit inline Vec3(T X) : BVec3<T>(X, X, X) {} |
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| 498 | |
---|
[1139] | 499 | template<int N> |
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[1148] | 500 | inline Vec3(XVec3<T, N> const &v) |
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[1158] | 501 | : BVec3<T>(v[0], v[1], v[2]) {} |
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[1139] | 502 | |
---|
| 503 | template<typename U, int N> |
---|
[1148] | 504 | explicit inline Vec3(XVec3<U, N> const &v) |
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[1158] | 505 | : BVec3<T>(v[0], v[1], v[2]) {} |
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[1139] | 506 | |
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[1315] | 507 | static Vec3<T> toeuler(Quat<T> const &q); |
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| 508 | |
---|
[2081] | 509 | LOL_MEMBER_OPS(Vec3, x) |
---|
[1139] | 510 | |
---|
| 511 | template<typename U> |
---|
[1148] | 512 | friend std::ostream &operator<<(std::ostream &stream, Vec3<U> const &v); |
---|
| 513 | }; |
---|
[1139] | 514 | |
---|
[1148] | 515 | /* |
---|
| 516 | * 4-element vectors |
---|
| 517 | */ |
---|
| 518 | |
---|
| 519 | template <typename T> struct BVec4 |
---|
| 520 | { |
---|
| 521 | explicit inline BVec4() {} |
---|
| 522 | explicit inline BVec4(T X, T Y, T Z, T W) : x(X), y(Y), z(Z), w(W) {} |
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| 523 | |
---|
[1139] | 524 | union |
---|
| 525 | { |
---|
| 526 | struct { T x, y, z, w; }; |
---|
| 527 | struct { T r, g, b, a; }; |
---|
| 528 | struct { T s, t, p, q; }; |
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| 529 | |
---|
[1154] | 530 | #if LOL_NO_CONST_MEMBERS_IN_ANONYMOUS_UNIONS |
---|
| 531 | # define const /* disabled */ |
---|
| 532 | #endif |
---|
[2179] | 533 | #if !_DOXYGEN_SKIP_ME |
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[1141] | 534 | XVec2<T,0x00> const xx, rr, ss; |
---|
[1143] | 535 | XVec2<T,0x01> const xy, rg, st; /* lvalue */ |
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| 536 | XVec2<T,0x02> const xz, rb, sp; /* lvalue */ |
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| 537 | XVec2<T,0x03> const xw, ra, sq; /* lvalue */ |
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| 538 | XVec2<T,0x10> const yx, gr, ts; /* lvalue */ |
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[1141] | 539 | XVec2<T,0x11> const yy, gg, tt; |
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[1143] | 540 | XVec2<T,0x12> const yz, gb, tp; /* lvalue */ |
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| 541 | XVec2<T,0x13> const yw, ga, tq; /* lvalue */ |
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| 542 | XVec2<T,0x20> const zx, br, ps; /* lvalue */ |
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| 543 | XVec2<T,0x21> const zy, bg, pt; /* lvalue */ |
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[1141] | 544 | XVec2<T,0x22> const zz, bb, pp; |
---|
[1143] | 545 | XVec2<T,0x23> const zw, ba, pq; /* lvalue */ |
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| 546 | XVec2<T,0x30> const wx, ar, qs; /* lvalue */ |
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| 547 | XVec2<T,0x31> const wy, ag, qt; /* lvalue */ |
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| 548 | XVec2<T,0x32> const wz, ab, qp; /* lvalue */ |
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[1141] | 549 | XVec2<T,0x33> const ww, aa, qq; |
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[1139] | 550 | |
---|
[1141] | 551 | XVec3<T,0x000> const xxx, rrr, sss; |
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| 552 | XVec3<T,0x001> const xxy, rrg, sst; |
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| 553 | XVec3<T,0x002> const xxz, rrb, ssp; |
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| 554 | XVec3<T,0x003> const xxw, rra, ssq; |
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| 555 | XVec3<T,0x010> const xyx, rgr, sts; |
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| 556 | XVec3<T,0x011> const xyy, rgg, stt; |
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[1143] | 557 | XVec3<T,0x012> const xyz, rgb, stp; /* lvalue */ |
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| 558 | XVec3<T,0x013> const xyw, rga, stq; /* lvalue */ |
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[1141] | 559 | XVec3<T,0x020> const xzx, rbr, sps; |
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[1143] | 560 | XVec3<T,0x021> const xzy, rbg, spt; /* lvalue */ |
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[1141] | 561 | XVec3<T,0x022> const xzz, rbb, spp; |
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[1143] | 562 | XVec3<T,0x023> const xzw, rba, spq; /* lvalue */ |
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[1141] | 563 | XVec3<T,0x030> const xwx, rar, sqs; |
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[1143] | 564 | XVec3<T,0x031> const xwy, rag, sqt; /* lvalue */ |
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| 565 | XVec3<T,0x032> const xwz, rab, sqp; /* lvalue */ |
---|
[1141] | 566 | XVec3<T,0x033> const xww, raa, sqq; |
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| 567 | XVec3<T,0x100> const yxx, grr, tss; |
---|
| 568 | XVec3<T,0x101> const yxy, grg, tst; |
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[1143] | 569 | XVec3<T,0x102> const yxz, grb, tsp; /* lvalue */ |
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| 570 | XVec3<T,0x103> const yxw, gra, tsq; /* lvalue */ |
---|
[1141] | 571 | XVec3<T,0x110> const yyx, ggr, tts; |
---|
| 572 | XVec3<T,0x111> const yyy, ggg, ttt; |
---|
| 573 | XVec3<T,0x112> const yyz, ggb, ttp; |
---|
| 574 | XVec3<T,0x113> const yyw, gga, ttq; |
---|
[1143] | 575 | XVec3<T,0x120> const yzx, gbr, tps; /* lvalue */ |
---|
[1141] | 576 | XVec3<T,0x121> const yzy, gbg, tpt; |
---|
| 577 | XVec3<T,0x122> const yzz, gbb, tpp; |
---|
[1143] | 578 | XVec3<T,0x123> const yzw, gba, tpq; /* lvalue */ |
---|
| 579 | XVec3<T,0x130> const ywx, gar, tqs; /* lvalue */ |
---|
[1141] | 580 | XVec3<T,0x131> const ywy, gag, tqt; |
---|
[1143] | 581 | XVec3<T,0x132> const ywz, gab, tqp; /* lvalue */ |
---|
[1141] | 582 | XVec3<T,0x133> const yww, gaa, tqq; |
---|
| 583 | XVec3<T,0x200> const zxx, brr, pss; |
---|
[1143] | 584 | XVec3<T,0x201> const zxy, brg, pst; /* lvalue */ |
---|
[1141] | 585 | XVec3<T,0x202> const zxz, brb, psp; |
---|
[1143] | 586 | XVec3<T,0x203> const zxw, bra, psq; /* lvalue */ |
---|
| 587 | XVec3<T,0x210> const zyx, bgr, pts; /* lvalue */ |
---|
[1141] | 588 | XVec3<T,0x211> const zyy, bgg, ptt; |
---|
| 589 | XVec3<T,0x212> const zyz, bgb, ptp; |
---|
[1143] | 590 | XVec3<T,0x213> const zyw, bga, ptq; /* lvalue */ |
---|
[1141] | 591 | XVec3<T,0x220> const zzx, bbr, pps; |
---|
| 592 | XVec3<T,0x221> const zzy, bbg, ppt; |
---|
| 593 | XVec3<T,0x222> const zzz, bbb, ppp; |
---|
| 594 | XVec3<T,0x223> const zzw, bba, ppq; |
---|
[1143] | 595 | XVec3<T,0x230> const zwx, bar, pqs; /* lvalue */ |
---|
| 596 | XVec3<T,0x231> const zwy, bag, pqt; /* lvalue */ |
---|
[1141] | 597 | XVec3<T,0x232> const zwz, bab, pqp; |
---|
| 598 | XVec3<T,0x233> const zww, baa, pqq; |
---|
| 599 | XVec3<T,0x300> const wxx, arr, qss; |
---|
[1143] | 600 | XVec3<T,0x301> const wxy, arg, qst; /* lvalue */ |
---|
| 601 | XVec3<T,0x302> const wxz, arb, qsp; /* lvalue */ |
---|
[1141] | 602 | XVec3<T,0x303> const wxw, ara, qsq; |
---|
[1143] | 603 | XVec3<T,0x310> const wyx, agr, qts; /* lvalue */ |
---|
[1141] | 604 | XVec3<T,0x311> const wyy, agg, qtt; |
---|
[1143] | 605 | XVec3<T,0x312> const wyz, agb, qtp; /* lvalue */ |
---|
[1141] | 606 | XVec3<T,0x313> const wyw, aga, qtq; |
---|
[1143] | 607 | XVec3<T,0x320> const wzx, abr, qps; /* lvalue */ |
---|
| 608 | XVec3<T,0x321> const wzy, abg, qpt; /* lvalue */ |
---|
[1141] | 609 | XVec3<T,0x322> const wzz, abb, qpp; |
---|
| 610 | XVec3<T,0x323> const wzw, aba, qpq; |
---|
| 611 | XVec3<T,0x330> const wwx, aar, qqs; |
---|
| 612 | XVec3<T,0x331> const wwy, aag, qqt; |
---|
| 613 | XVec3<T,0x332> const wwz, aab, qqp; |
---|
| 614 | XVec3<T,0x333> const www, aaa, qqq; |
---|
[1139] | 615 | |
---|
[1141] | 616 | XVec4<T,0x0000> const xxxx, rrrr, ssss; |
---|
| 617 | XVec4<T,0x0001> const xxxy, rrrg, ssst; |
---|
| 618 | XVec4<T,0x0002> const xxxz, rrrb, sssp; |
---|
| 619 | XVec4<T,0x0003> const xxxw, rrra, sssq; |
---|
| 620 | XVec4<T,0x0010> const xxyx, rrgr, ssts; |
---|
| 621 | XVec4<T,0x0011> const xxyy, rrgg, sstt; |
---|
| 622 | XVec4<T,0x0012> const xxyz, rrgb, sstp; |
---|
| 623 | XVec4<T,0x0013> const xxyw, rrga, sstq; |
---|
| 624 | XVec4<T,0x0020> const xxzx, rrbr, ssps; |
---|
| 625 | XVec4<T,0x0021> const xxzy, rrbg, sspt; |
---|
| 626 | XVec4<T,0x0022> const xxzz, rrbb, sspp; |
---|
| 627 | XVec4<T,0x0023> const xxzw, rrba, sspq; |
---|
| 628 | XVec4<T,0x0030> const xxwx, rrar, ssqs; |
---|
| 629 | XVec4<T,0x0031> const xxwy, rrag, ssqt; |
---|
| 630 | XVec4<T,0x0032> const xxwz, rrab, ssqp; |
---|
| 631 | XVec4<T,0x0033> const xxww, rraa, ssqq; |
---|
| 632 | XVec4<T,0x0100> const xyxx, rgrr, stss; |
---|
| 633 | XVec4<T,0x0101> const xyxy, rgrg, stst; |
---|
| 634 | XVec4<T,0x0102> const xyxz, rgrb, stsp; |
---|
| 635 | XVec4<T,0x0103> const xyxw, rgra, stsq; |
---|
| 636 | XVec4<T,0x0110> const xyyx, rggr, stts; |
---|
| 637 | XVec4<T,0x0111> const xyyy, rggg, sttt; |
---|
| 638 | XVec4<T,0x0112> const xyyz, rggb, sttp; |
---|
| 639 | XVec4<T,0x0113> const xyyw, rgga, sttq; |
---|
| 640 | XVec4<T,0x0120> const xyzx, rgbr, stps; |
---|
| 641 | XVec4<T,0x0121> const xyzy, rgbg, stpt; |
---|
| 642 | XVec4<T,0x0122> const xyzz, rgbb, stpp; |
---|
[1143] | 643 | XVec4<T,0x0123> const xyzw, rgba, stpq; /* lvalue */ |
---|
[1141] | 644 | XVec4<T,0x0130> const xywx, rgar, stqs; |
---|
| 645 | XVec4<T,0x0131> const xywy, rgag, stqt; |
---|
[1143] | 646 | XVec4<T,0x0132> const xywz, rgab, stqp; /* lvalue */ |
---|
[1141] | 647 | XVec4<T,0x0133> const xyww, rgaa, stqq; |
---|
| 648 | XVec4<T,0x0200> const xzxx, rbrr, spss; |
---|
| 649 | XVec4<T,0x0201> const xzxy, rbrg, spst; |
---|
| 650 | XVec4<T,0x0202> const xzxz, rbrb, spsp; |
---|
| 651 | XVec4<T,0x0203> const xzxw, rbra, spsq; |
---|
| 652 | XVec4<T,0x0210> const xzyx, rbgr, spts; |
---|
| 653 | XVec4<T,0x0211> const xzyy, rbgg, sptt; |
---|
| 654 | XVec4<T,0x0212> const xzyz, rbgb, sptp; |
---|
[1143] | 655 | XVec4<T,0x0213> const xzyw, rbga, sptq; /* lvalue */ |
---|
[1141] | 656 | XVec4<T,0x0220> const xzzx, rbbr, spps; |
---|
| 657 | XVec4<T,0x0221> const xzzy, rbbg, sppt; |
---|
| 658 | XVec4<T,0x0222> const xzzz, rbbb, sppp; |
---|
| 659 | XVec4<T,0x0223> const xzzw, rbba, sppq; |
---|
| 660 | XVec4<T,0x0230> const xzwx, rbar, spqs; |
---|
[1143] | 661 | XVec4<T,0x0231> const xzwy, rbag, spqt; /* lvalue */ |
---|
[1141] | 662 | XVec4<T,0x0232> const xzwz, rbab, spqp; |
---|
| 663 | XVec4<T,0x0233> const xzww, rbaa, spqq; |
---|
| 664 | XVec4<T,0x0300> const xwxx, rarr, sqss; |
---|
| 665 | XVec4<T,0x0301> const xwxy, rarg, sqst; |
---|
| 666 | XVec4<T,0x0302> const xwxz, rarb, sqsp; |
---|
| 667 | XVec4<T,0x0303> const xwxw, rara, sqsq; |
---|
| 668 | XVec4<T,0x0310> const xwyx, ragr, sqts; |
---|
| 669 | XVec4<T,0x0311> const xwyy, ragg, sqtt; |
---|
[1143] | 670 | XVec4<T,0x0312> const xwyz, ragb, sqtp; /* lvalue */ |
---|
[1141] | 671 | XVec4<T,0x0313> const xwyw, raga, sqtq; |
---|
| 672 | XVec4<T,0x0320> const xwzx, rabr, sqps; |
---|
[1143] | 673 | XVec4<T,0x0321> const xwzy, rabg, sqpt; /* lvalue */ |
---|
[1141] | 674 | XVec4<T,0x0322> const xwzz, rabb, sqpp; |
---|
| 675 | XVec4<T,0x0323> const xwzw, raba, sqpq; |
---|
| 676 | XVec4<T,0x0330> const xwwx, raar, sqqs; |
---|
| 677 | XVec4<T,0x0331> const xwwy, raag, sqqt; |
---|
| 678 | XVec4<T,0x0332> const xwwz, raab, sqqp; |
---|
| 679 | XVec4<T,0x0333> const xwww, raaa, sqqq; |
---|
| 680 | XVec4<T,0x1000> const yxxx, grrr, tsss; |
---|
| 681 | XVec4<T,0x1001> const yxxy, grrg, tsst; |
---|
| 682 | XVec4<T,0x1002> const yxxz, grrb, tssp; |
---|
| 683 | XVec4<T,0x1003> const yxxw, grra, tssq; |
---|
| 684 | XVec4<T,0x1010> const yxyx, grgr, tsts; |
---|
| 685 | XVec4<T,0x1011> const yxyy, grgg, tstt; |
---|
| 686 | XVec4<T,0x1012> const yxyz, grgb, tstp; |
---|
| 687 | XVec4<T,0x1013> const yxyw, grga, tstq; |
---|
| 688 | XVec4<T,0x1020> const yxzx, grbr, tsps; |
---|
| 689 | XVec4<T,0x1021> const yxzy, grbg, tspt; |
---|
| 690 | XVec4<T,0x1022> const yxzz, grbb, tspp; |
---|
[1143] | 691 | XVec4<T,0x1023> const yxzw, grba, tspq; /* lvalue */ |
---|
[1141] | 692 | XVec4<T,0x1030> const yxwx, grar, tsqs; |
---|
| 693 | XVec4<T,0x1031> const yxwy, grag, tsqt; |
---|
[1143] | 694 | XVec4<T,0x1032> const yxwz, grab, tsqp; /* lvalue */ |
---|
[1141] | 695 | XVec4<T,0x1033> const yxww, graa, tsqq; |
---|
| 696 | XVec4<T,0x1100> const yyxx, ggrr, ttss; |
---|
| 697 | XVec4<T,0x1101> const yyxy, ggrg, ttst; |
---|
| 698 | XVec4<T,0x1102> const yyxz, ggrb, ttsp; |
---|
| 699 | XVec4<T,0x1103> const yyxw, ggra, ttsq; |
---|
| 700 | XVec4<T,0x1110> const yyyx, gggr, ttts; |
---|
| 701 | XVec4<T,0x1111> const yyyy, gggg, tttt; |
---|
| 702 | XVec4<T,0x1112> const yyyz, gggb, tttp; |
---|
| 703 | XVec4<T,0x1113> const yyyw, ggga, tttq; |
---|
| 704 | XVec4<T,0x1120> const yyzx, ggbr, ttps; |
---|
| 705 | XVec4<T,0x1121> const yyzy, ggbg, ttpt; |
---|
| 706 | XVec4<T,0x1122> const yyzz, ggbb, ttpp; |
---|
| 707 | XVec4<T,0x1123> const yyzw, ggba, ttpq; |
---|
| 708 | XVec4<T,0x1130> const yywx, ggar, ttqs; |
---|
| 709 | XVec4<T,0x1131> const yywy, ggag, ttqt; |
---|
| 710 | XVec4<T,0x1132> const yywz, ggab, ttqp; |
---|
| 711 | XVec4<T,0x1133> const yyww, ggaa, ttqq; |
---|
| 712 | XVec4<T,0x1200> const yzxx, gbrr, tpss; |
---|
| 713 | XVec4<T,0x1201> const yzxy, gbrg, tpst; |
---|
| 714 | XVec4<T,0x1202> const yzxz, gbrb, tpsp; |
---|
[1143] | 715 | XVec4<T,0x1203> const yzxw, gbra, tpsq; /* lvalue */ |
---|
[1141] | 716 | XVec4<T,0x1210> const yzyx, gbgr, tpts; |
---|
| 717 | XVec4<T,0x1211> const yzyy, gbgg, tptt; |
---|
| 718 | XVec4<T,0x1212> const yzyz, gbgb, tptp; |
---|
| 719 | XVec4<T,0x1213> const yzyw, gbga, tptq; |
---|
| 720 | XVec4<T,0x1220> const yzzx, gbbr, tpps; |
---|
| 721 | XVec4<T,0x1221> const yzzy, gbbg, tppt; |
---|
| 722 | XVec4<T,0x1222> const yzzz, gbbb, tppp; |
---|
| 723 | XVec4<T,0x1223> const yzzw, gbba, tppq; |
---|
[1143] | 724 | XVec4<T,0x1230> const yzwx, gbar, tpqs; /* lvalue */ |
---|
[1141] | 725 | XVec4<T,0x1231> const yzwy, gbag, tpqt; |
---|
| 726 | XVec4<T,0x1232> const yzwz, gbab, tpqp; |
---|
| 727 | XVec4<T,0x1233> const yzww, gbaa, tpqq; |
---|
| 728 | XVec4<T,0x1300> const ywxx, garr, tqss; |
---|
| 729 | XVec4<T,0x1301> const ywxy, garg, tqst; |
---|
[1143] | 730 | XVec4<T,0x1302> const ywxz, garb, tqsp; /* lvalue */ |
---|
[1141] | 731 | XVec4<T,0x1303> const ywxw, gara, tqsq; |
---|
| 732 | XVec4<T,0x1310> const ywyx, gagr, tqts; |
---|
| 733 | XVec4<T,0x1311> const ywyy, gagg, tqtt; |
---|
| 734 | XVec4<T,0x1312> const ywyz, gagb, tqtp; |
---|
| 735 | XVec4<T,0x1313> const ywyw, gaga, tqtq; |
---|
[1143] | 736 | XVec4<T,0x1320> const ywzx, gabr, tqps; /* lvalue */ |
---|
[1141] | 737 | XVec4<T,0x1321> const ywzy, gabg, tqpt; |
---|
| 738 | XVec4<T,0x1322> const ywzz, gabb, tqpp; |
---|
| 739 | XVec4<T,0x1323> const ywzw, gaba, tqpq; |
---|
| 740 | XVec4<T,0x1330> const ywwx, gaar, tqqs; |
---|
| 741 | XVec4<T,0x1331> const ywwy, gaag, tqqt; |
---|
| 742 | XVec4<T,0x1332> const ywwz, gaab, tqqp; |
---|
| 743 | XVec4<T,0x1333> const ywww, gaaa, tqqq; |
---|
| 744 | XVec4<T,0x2000> const zxxx, brrr, psss; |
---|
| 745 | XVec4<T,0x2001> const zxxy, brrg, psst; |
---|
| 746 | XVec4<T,0x2002> const zxxz, brrb, pssp; |
---|
| 747 | XVec4<T,0x2003> const zxxw, brra, pssq; |
---|
| 748 | XVec4<T,0x2010> const zxyx, brgr, psts; |
---|
| 749 | XVec4<T,0x2011> const zxyy, brgg, pstt; |
---|
| 750 | XVec4<T,0x2012> const zxyz, brgb, pstp; |
---|
[1143] | 751 | XVec4<T,0x2013> const zxyw, brga, pstq; /* lvalue */ |
---|
[1141] | 752 | XVec4<T,0x2020> const zxzx, brbr, psps; |
---|
| 753 | XVec4<T,0x2021> const zxzy, brbg, pspt; |
---|
| 754 | XVec4<T,0x2022> const zxzz, brbb, pspp; |
---|
| 755 | XVec4<T,0x2023> const zxzw, brba, pspq; |
---|
| 756 | XVec4<T,0x2030> const zxwx, brar, psqs; |
---|
[1143] | 757 | XVec4<T,0x2031> const zxwy, brag, psqt; /* lvalue */ |
---|
[1141] | 758 | XVec4<T,0x2032> const zxwz, brab, psqp; |
---|
| 759 | XVec4<T,0x2033> const zxww, braa, psqq; |
---|
| 760 | XVec4<T,0x2100> const zyxx, bgrr, ptss; |
---|
| 761 | XVec4<T,0x2101> const zyxy, bgrg, ptst; |
---|
| 762 | XVec4<T,0x2102> const zyxz, bgrb, ptsp; |
---|
[1143] | 763 | XVec4<T,0x2103> const zyxw, bgra, ptsq; /* lvalue */ |
---|
[1141] | 764 | XVec4<T,0x2110> const zyyx, bggr, ptts; |
---|
| 765 | XVec4<T,0x2111> const zyyy, bggg, pttt; |
---|
| 766 | XVec4<T,0x2112> const zyyz, bggb, pttp; |
---|
| 767 | XVec4<T,0x2113> const zyyw, bgga, pttq; |
---|
| 768 | XVec4<T,0x2120> const zyzx, bgbr, ptps; |
---|
| 769 | XVec4<T,0x2121> const zyzy, bgbg, ptpt; |
---|
| 770 | XVec4<T,0x2122> const zyzz, bgbb, ptpp; |
---|
| 771 | XVec4<T,0x2123> const zyzw, bgba, ptpq; |
---|
[1143] | 772 | XVec4<T,0x2130> const zywx, bgar, ptqs; /* lvalue */ |
---|
[1141] | 773 | XVec4<T,0x2131> const zywy, bgag, ptqt; |
---|
| 774 | XVec4<T,0x2132> const zywz, bgab, ptqp; |
---|
| 775 | XVec4<T,0x2133> const zyww, bgaa, ptqq; |
---|
| 776 | XVec4<T,0x2200> const zzxx, bbrr, ppss; |
---|
| 777 | XVec4<T,0x2201> const zzxy, bbrg, ppst; |
---|
| 778 | XVec4<T,0x2202> const zzxz, bbrb, ppsp; |
---|
| 779 | XVec4<T,0x2203> const zzxw, bbra, ppsq; |
---|
| 780 | XVec4<T,0x2210> const zzyx, bbgr, ppts; |
---|
| 781 | XVec4<T,0x2211> const zzyy, bbgg, pptt; |
---|
| 782 | XVec4<T,0x2212> const zzyz, bbgb, pptp; |
---|
| 783 | XVec4<T,0x2213> const zzyw, bbga, pptq; |
---|
| 784 | XVec4<T,0x2220> const zzzx, bbbr, ppps; |
---|
| 785 | XVec4<T,0x2221> const zzzy, bbbg, pppt; |
---|
| 786 | XVec4<T,0x2222> const zzzz, bbbb, pppp; |
---|
| 787 | XVec4<T,0x2223> const zzzw, bbba, pppq; |
---|
| 788 | XVec4<T,0x2230> const zzwx, bbar, ppqs; |
---|
| 789 | XVec4<T,0x2231> const zzwy, bbag, ppqt; |
---|
| 790 | XVec4<T,0x2232> const zzwz, bbab, ppqp; |
---|
| 791 | XVec4<T,0x2233> const zzww, bbaa, ppqq; |
---|
| 792 | XVec4<T,0x2300> const zwxx, barr, pqss; |
---|
[1143] | 793 | XVec4<T,0x2301> const zwxy, barg, pqst; /* lvalue */ |
---|
[1141] | 794 | XVec4<T,0x2302> const zwxz, barb, pqsp; |
---|
| 795 | XVec4<T,0x2303> const zwxw, bara, pqsq; |
---|
[1143] | 796 | XVec4<T,0x2310> const zwyx, bagr, pqts; /* lvalue */ |
---|
[1141] | 797 | XVec4<T,0x2311> const zwyy, bagg, pqtt; |
---|
| 798 | XVec4<T,0x2312> const zwyz, bagb, pqtp; |
---|
| 799 | XVec4<T,0x2313> const zwyw, baga, pqtq; |
---|
| 800 | XVec4<T,0x2320> const zwzx, babr, pqps; |
---|
| 801 | XVec4<T,0x2321> const zwzy, babg, pqpt; |
---|
| 802 | XVec4<T,0x2322> const zwzz, babb, pqpp; |
---|
| 803 | XVec4<T,0x2323> const zwzw, baba, pqpq; |
---|
| 804 | XVec4<T,0x2330> const zwwx, baar, pqqs; |
---|
| 805 | XVec4<T,0x2331> const zwwy, baag, pqqt; |
---|
| 806 | XVec4<T,0x2332> const zwwz, baab, pqqp; |
---|
| 807 | XVec4<T,0x2333> const zwww, baaa, pqqq; |
---|
| 808 | XVec4<T,0x3000> const wxxx, arrr, qsss; |
---|
| 809 | XVec4<T,0x3001> const wxxy, arrg, qsst; |
---|
| 810 | XVec4<T,0x3002> const wxxz, arrb, qssp; |
---|
| 811 | XVec4<T,0x3003> const wxxw, arra, qssq; |
---|
| 812 | XVec4<T,0x3010> const wxyx, argr, qsts; |
---|
| 813 | XVec4<T,0x3011> const wxyy, argg, qstt; |
---|
[1143] | 814 | XVec4<T,0x3012> const wxyz, argb, qstp; /* lvalue */ |
---|
[1141] | 815 | XVec4<T,0x3013> const wxyw, arga, qstq; |
---|
| 816 | XVec4<T,0x3020> const wxzx, arbr, qsps; |
---|
[1143] | 817 | XVec4<T,0x3021> const wxzy, arbg, qspt; /* lvalue */ |
---|
[1141] | 818 | XVec4<T,0x3022> const wxzz, arbb, qspp; |
---|
| 819 | XVec4<T,0x3023> const wxzw, arba, qspq; |
---|
| 820 | XVec4<T,0x3030> const wxwx, arar, qsqs; |
---|
| 821 | XVec4<T,0x3031> const wxwy, arag, qsqt; |
---|
| 822 | XVec4<T,0x3032> const wxwz, arab, qsqp; |
---|
| 823 | XVec4<T,0x3033> const wxww, araa, qsqq; |
---|
| 824 | XVec4<T,0x3100> const wyxx, agrr, qtss; |
---|
| 825 | XVec4<T,0x3101> const wyxy, agrg, qtst; |
---|
[1143] | 826 | XVec4<T,0x3102> const wyxz, agrb, qtsp; /* lvalue */ |
---|
[1141] | 827 | XVec4<T,0x3103> const wyxw, agra, qtsq; |
---|
| 828 | XVec4<T,0x3110> const wyyx, aggr, qtts; |
---|
| 829 | XVec4<T,0x3111> const wyyy, aggg, qttt; |
---|
| 830 | XVec4<T,0x3112> const wyyz, aggb, qttp; |
---|
| 831 | XVec4<T,0x3113> const wyyw, agga, qttq; |
---|
[1143] | 832 | XVec4<T,0x3120> const wyzx, agbr, qtps; /* lvalue */ |
---|
[1141] | 833 | XVec4<T,0x3121> const wyzy, agbg, qtpt; |
---|
| 834 | XVec4<T,0x3122> const wyzz, agbb, qtpp; |
---|
| 835 | XVec4<T,0x3123> const wyzw, agba, qtpq; |
---|
| 836 | XVec4<T,0x3130> const wywx, agar, qtqs; |
---|
| 837 | XVec4<T,0x3131> const wywy, agag, qtqt; |
---|
| 838 | XVec4<T,0x3132> const wywz, agab, qtqp; |
---|
| 839 | XVec4<T,0x3133> const wyww, agaa, qtqq; |
---|
| 840 | XVec4<T,0x3200> const wzxx, abrr, qpss; |
---|
[1143] | 841 | XVec4<T,0x3201> const wzxy, abrg, qpst; /* lvalue */ |
---|
[1141] | 842 | XVec4<T,0x3202> const wzxz, abrb, qpsp; |
---|
| 843 | XVec4<T,0x3203> const wzxw, abra, qpsq; |
---|
[1143] | 844 | XVec4<T,0x3210> const wzyx, abgr, qpts; /* lvalue */ |
---|
[1141] | 845 | XVec4<T,0x3211> const wzyy, abgg, qptt; |
---|
| 846 | XVec4<T,0x3212> const wzyz, abgb, qptp; |
---|
| 847 | XVec4<T,0x3213> const wzyw, abga, qptq; |
---|
| 848 | XVec4<T,0x3220> const wzzx, abbr, qpps; |
---|
| 849 | XVec4<T,0x3221> const wzzy, abbg, qppt; |
---|
| 850 | XVec4<T,0x3222> const wzzz, abbb, qppp; |
---|
| 851 | XVec4<T,0x3223> const wzzw, abba, qppq; |
---|
| 852 | XVec4<T,0x3230> const wzwx, abar, qpqs; |
---|
| 853 | XVec4<T,0x3231> const wzwy, abag, qpqt; |
---|
| 854 | XVec4<T,0x3232> const wzwz, abab, qpqp; |
---|
| 855 | XVec4<T,0x3233> const wzww, abaa, qpqq; |
---|
| 856 | XVec4<T,0x3300> const wwxx, aarr, qqss; |
---|
| 857 | XVec4<T,0x3301> const wwxy, aarg, qqst; |
---|
| 858 | XVec4<T,0x3302> const wwxz, aarb, qqsp; |
---|
| 859 | XVec4<T,0x3303> const wwxw, aara, qqsq; |
---|
| 860 | XVec4<T,0x3310> const wwyx, aagr, qqts; |
---|
| 861 | XVec4<T,0x3311> const wwyy, aagg, qqtt; |
---|
| 862 | XVec4<T,0x3312> const wwyz, aagb, qqtp; |
---|
| 863 | XVec4<T,0x3313> const wwyw, aaga, qqtq; |
---|
| 864 | XVec4<T,0x3320> const wwzx, aabr, qqps; |
---|
| 865 | XVec4<T,0x3321> const wwzy, aabg, qqpt; |
---|
| 866 | XVec4<T,0x3322> const wwzz, aabb, qqpp; |
---|
| 867 | XVec4<T,0x3323> const wwzw, aaba, qqpq; |
---|
| 868 | XVec4<T,0x3330> const wwwx, aaar, qqqs; |
---|
| 869 | XVec4<T,0x3331> const wwwy, aaag, qqqt; |
---|
| 870 | XVec4<T,0x3332> const wwwz, aaab, qqqp; |
---|
| 871 | XVec4<T,0x3333> const wwww, aaaa, qqqq; |
---|
[2179] | 872 | #endif |
---|
[1154] | 873 | #if LOL_NO_CONST_MEMBERS_IN_ANONYMOUS_UNIONS |
---|
| 874 | # undef const |
---|
| 875 | #endif |
---|
[1139] | 876 | }; |
---|
| 877 | }; |
---|
| 878 | |
---|
[1148] | 879 | template <> struct BVec4<half> |
---|
| 880 | { |
---|
| 881 | explicit inline BVec4() {} |
---|
| 882 | explicit inline BVec4(half X, half Y, half Z, half W) |
---|
| 883 | : x(X), y(Y), z(Z), w(W) {} |
---|
| 884 | |
---|
| 885 | half x, y, z, w; |
---|
| 886 | }; |
---|
| 887 | |
---|
| 888 | template <> struct BVec4<real> |
---|
| 889 | { |
---|
| 890 | explicit inline BVec4() {} |
---|
| 891 | explicit inline BVec4(real X, real Y, real Z, real W) |
---|
| 892 | : x(X), y(Y), z(Z), w(W) {} |
---|
| 893 | |
---|
| 894 | real x, y, z, w; |
---|
| 895 | }; |
---|
| 896 | |
---|
| 897 | template <typename T> struct Vec4 : BVec4<T> |
---|
| 898 | { |
---|
| 899 | inline Vec4() {} |
---|
| 900 | inline Vec4(T X, T Y, T Z, T W) : BVec4<T>(X, Y, Z, W) {} |
---|
| 901 | inline Vec4(Vec2<T> XY, T Z, T W) : BVec4<T>(XY.x, XY.y, Z, W) {} |
---|
| 902 | inline Vec4(T X, Vec2<T> YZ, T W) : BVec4<T>(X, YZ.x, YZ.y, W) {} |
---|
| 903 | inline Vec4(T X, T Y, Vec2<T> ZW) : BVec4<T>(X, Y, ZW.x, ZW.y) {} |
---|
| 904 | inline Vec4(Vec2<T> XY, Vec2<T> ZW) : BVec4<T>(XY.x, XY.y, ZW.x, ZW.y) {} |
---|
| 905 | inline Vec4(Vec3<T> XYZ, T W) : BVec4<T>(XYZ.x, XYZ.y, XYZ.z, W) {} |
---|
| 906 | inline Vec4(T X, Vec3<T> YZW) : BVec4<T>(X, YZW.x, YZW.y, YZW.z) {} |
---|
| 907 | |
---|
| 908 | explicit inline Vec4(T X) : BVec4<T>(X, X, X, X) {} |
---|
| 909 | |
---|
| 910 | template<int N> |
---|
| 911 | inline Vec4(XVec4<T, N> const &v) |
---|
[1158] | 912 | : BVec4<T>(v[0], v[1], v[2], v[3]) {} |
---|
[1148] | 913 | |
---|
| 914 | template<typename U, int N> |
---|
| 915 | explicit inline Vec4(XVec4<U, N> const &v) |
---|
[1158] | 916 | : BVec4<T>(v[0], v[1], v[2], v[3]) {} |
---|
[1148] | 917 | |
---|
[2081] | 918 | LOL_MEMBER_OPS(Vec4, x) |
---|
[1148] | 919 | |
---|
| 920 | template<typename U> |
---|
| 921 | friend std::ostream &operator<<(std::ostream &stream, Vec4<U> const &v); |
---|
| 922 | }; |
---|
| 923 | |
---|
[1139] | 924 | /* |
---|
| 925 | * 4-element quaternions |
---|
| 926 | */ |
---|
| 927 | |
---|
| 928 | template <typename T> struct Quat |
---|
| 929 | { |
---|
| 930 | inline Quat() {} |
---|
[1351] | 931 | inline Quat(T W) : w(W), x(0), y(0), z(0) {} |
---|
| 932 | inline Quat(T W, T X, T Y, T Z) : w(W), x(X), y(Y), z(Z) {} |
---|
[1139] | 933 | |
---|
[1232] | 934 | Quat(Mat3<T> const &m); |
---|
[1139] | 935 | Quat(Mat4<T> const &m); |
---|
| 936 | |
---|
[2081] | 937 | LOL_MEMBER_OPS(Quat, w) |
---|
[1139] | 938 | |
---|
[1305] | 939 | static Quat<T> rotate(T angle, T x, T y, T z); |
---|
| 940 | static Quat<T> rotate(T angle, Vec3<T> const &v); |
---|
| 941 | |
---|
[1351] | 942 | /* Convert from Euler angles. The axes in fromeuler_xyx are |
---|
| 943 | * x, then y', then x", ie. the axes are attached to the model. |
---|
| 944 | * If you want to rotate around static axes, just reverse the order |
---|
| 945 | * of the arguments. */ |
---|
| 946 | static Quat<T> fromeuler_xyx(Vec3<T> const &v); |
---|
| 947 | static Quat<T> fromeuler_xzx(Vec3<T> const &v); |
---|
| 948 | static Quat<T> fromeuler_yxy(Vec3<T> const &v); |
---|
| 949 | static Quat<T> fromeuler_yzy(Vec3<T> const &v); |
---|
| 950 | static Quat<T> fromeuler_zxz(Vec3<T> const &v); |
---|
| 951 | static Quat<T> fromeuler_zyz(Vec3<T> const &v); |
---|
| 952 | static Quat<T> fromeuler_xyx(T phi, T theta, T psi); |
---|
| 953 | static Quat<T> fromeuler_xzx(T phi, T theta, T psi); |
---|
| 954 | static Quat<T> fromeuler_yxy(T phi, T theta, T psi); |
---|
| 955 | static Quat<T> fromeuler_yzy(T phi, T theta, T psi); |
---|
| 956 | static Quat<T> fromeuler_zxz(T phi, T theta, T psi); |
---|
| 957 | static Quat<T> fromeuler_zyz(T phi, T theta, T psi); |
---|
| 958 | |
---|
[1349] | 959 | /* Convert from Tait-Bryan angles (incorrectly called Euler angles, |
---|
| 960 | * but since everyone does it…). The axes in fromeuler_xyz are |
---|
| 961 | * x, then y', then z", ie. the axes are attached to the model. |
---|
| 962 | * If you want to apply yaw around x, pitch around y, and roll |
---|
| 963 | * around z, use fromeuler_xyz. |
---|
| 964 | * If you want to rotate around static axes, reverse the order in |
---|
| 965 | * the function name (_zyx instead of _xyz) AND reverse the order |
---|
| 966 | * of the arguments. */ |
---|
| 967 | static Quat<T> fromeuler_xyz(Vec3<T> const &v); |
---|
| 968 | static Quat<T> fromeuler_xzy(Vec3<T> const &v); |
---|
| 969 | static Quat<T> fromeuler_yxz(Vec3<T> const &v); |
---|
| 970 | static Quat<T> fromeuler_yzx(Vec3<T> const &v); |
---|
| 971 | static Quat<T> fromeuler_zxy(Vec3<T> const &v); |
---|
| 972 | static Quat<T> fromeuler_zyx(Vec3<T> const &v); |
---|
| 973 | static Quat<T> fromeuler_xyz(T phi, T theta, T psi); |
---|
| 974 | static Quat<T> fromeuler_xzy(T phi, T theta, T psi); |
---|
| 975 | static Quat<T> fromeuler_yxz(T phi, T theta, T psi); |
---|
| 976 | static Quat<T> fromeuler_yzx(T phi, T theta, T psi); |
---|
| 977 | static Quat<T> fromeuler_zxy(T phi, T theta, T psi); |
---|
| 978 | static Quat<T> fromeuler_zyx(T phi, T theta, T psi); |
---|
| 979 | |
---|
[1381] | 980 | inline Quat<T> operator *(Quat<T> const &val) const; |
---|
[1139] | 981 | |
---|
| 982 | inline Quat<T> operator *=(Quat<T> const &val) |
---|
| 983 | { |
---|
| 984 | return *this = (*this) * val; |
---|
| 985 | } |
---|
| 986 | |
---|
| 987 | inline Quat<T> operator ~() const |
---|
| 988 | { |
---|
[1305] | 989 | return Quat<T>(w, -x, -y, -z); |
---|
[1139] | 990 | } |
---|
| 991 | |
---|
[1317] | 992 | inline Vec3<T> transform(Vec3<T> const &v) |
---|
| 993 | { |
---|
| 994 | Quat<T> p = Quat<T>(0, v.x, v.y, v.z); |
---|
| 995 | Quat<T> q = *this * p / *this; |
---|
| 996 | return Vec3<T>(q.x, q.y, q.z); |
---|
| 997 | } |
---|
| 998 | |
---|
[1139] | 999 | template<typename U> |
---|
| 1000 | friend std::ostream &operator<<(std::ostream &stream, Quat<U> const &v); |
---|
| 1001 | |
---|
[1351] | 1002 | /* XXX: storage order is wxyz, unlike vectors! */ |
---|
| 1003 | T w, x, y, z; |
---|
[1139] | 1004 | }; |
---|
| 1005 | |
---|
| 1006 | template<typename T> |
---|
| 1007 | inline T norm(Quat<T> const &val) |
---|
| 1008 | { |
---|
[1369] | 1009 | return sqlength(val); |
---|
[1139] | 1010 | } |
---|
| 1011 | |
---|
| 1012 | template<typename T> |
---|
| 1013 | static inline Quat<T> re(Quat<T> const &val) |
---|
| 1014 | { |
---|
| 1015 | return ~val / norm(val); |
---|
| 1016 | } |
---|
| 1017 | |
---|
| 1018 | template<typename T> |
---|
| 1019 | static inline Quat<T> operator /(T x, Quat<T> const &y) |
---|
| 1020 | { |
---|
| 1021 | return x * re(y); |
---|
| 1022 | } |
---|
| 1023 | |
---|
| 1024 | template<typename T> |
---|
[1807] | 1025 | static inline Quat<T> operator /(Quat<T> const &x, Quat<T> const &y) |
---|
[1139] | 1026 | { |
---|
| 1027 | return x * re(y); |
---|
| 1028 | } |
---|
| 1029 | |
---|
[1807] | 1030 | template<typename T> |
---|
| 1031 | extern Quat<T> slerp(Quat<T> const &qa, Quat<T> const &qb, T f); |
---|
| 1032 | |
---|
[1139] | 1033 | /* |
---|
| 1034 | * Common operators for all vector types, including quaternions |
---|
| 1035 | */ |
---|
| 1036 | |
---|
[1311] | 1037 | /* |
---|
| 1038 | * vec +(vec, vec) (also complex & quaternion) |
---|
| 1039 | * vec -(vec, vec) (also complex & quaternion) |
---|
| 1040 | * vec *(vec, vec) |
---|
| 1041 | * vec /(vec, vec) |
---|
| 1042 | */ |
---|
[2081] | 1043 | #define LOL_VECTOR_VECTOR_COERCE_OP(tname, op, tprefix, t1, t2, tf) \ |
---|
[1139] | 1044 | tprefix \ |
---|
[1157] | 1045 | inline tname<tf> operator op(tname<t1> const &a, tname<t2> const &b) \ |
---|
[1139] | 1046 | { \ |
---|
[1153] | 1047 | tname<tf> ret; \ |
---|
| 1048 | for (size_t n = 0; n < sizeof(a) / sizeof(t1); n++) \ |
---|
[1139] | 1049 | ret[n] = a[n] op b[n]; \ |
---|
| 1050 | return ret; \ |
---|
[1153] | 1051 | } |
---|
| 1052 | |
---|
[1311] | 1053 | /* |
---|
| 1054 | * vec +=(vec, vec) (also complex & quaternion) |
---|
| 1055 | * vec -=(vec, vec) (also complex & quaternion) |
---|
| 1056 | * vec *=(vec, vec) |
---|
| 1057 | * vec /=(vec, vec) |
---|
| 1058 | */ |
---|
[2081] | 1059 | #define LOL_VECTOR_VECTOR_OP(tname, op, tprefix, type) \ |
---|
[1139] | 1060 | tprefix \ |
---|
[1157] | 1061 | inline tname<type> operator op##=(tname<type> &a, tname<type> const &b) \ |
---|
[1139] | 1062 | { \ |
---|
| 1063 | return a = a op b; \ |
---|
| 1064 | } |
---|
| 1065 | |
---|
[1311] | 1066 | /* |
---|
[2054] | 1067 | * vec min(vec, vec) (also max, fmod) |
---|
| 1068 | * vec min(vec, scalar) (also max, fmod) |
---|
| 1069 | * vec min(scalar, vec) (also max, fmod) |
---|
[1311] | 1070 | */ |
---|
[2081] | 1071 | #define LOL_VECTOR_MINMAX_FUN(tname, op, tprefix, type) \ |
---|
[1311] | 1072 | tprefix \ |
---|
| 1073 | inline tname<type> op(tname<type> const &a, tname<type> const &b) \ |
---|
| 1074 | { \ |
---|
[2056] | 1075 | using lol::op; \ |
---|
[1311] | 1076 | tname<type> ret; \ |
---|
| 1077 | for (size_t n = 0; n < sizeof(a) / sizeof(type); n++) \ |
---|
| 1078 | ret[n] = op(a[n], b[n]); \ |
---|
| 1079 | return ret; \ |
---|
| 1080 | } \ |
---|
| 1081 | \ |
---|
| 1082 | tprefix \ |
---|
| 1083 | inline tname<type> op(tname<type> const &a, type const &b) \ |
---|
| 1084 | { \ |
---|
[2056] | 1085 | using lol::op; \ |
---|
[1311] | 1086 | tname<type> ret; \ |
---|
| 1087 | for (size_t n = 0; n < sizeof(a) / sizeof(type); n++) \ |
---|
| 1088 | ret[n] = op(a[n], b); \ |
---|
| 1089 | return ret; \ |
---|
| 1090 | } \ |
---|
| 1091 | \ |
---|
| 1092 | tprefix \ |
---|
| 1093 | inline tname<type> op(type const &a, tname<type> const &b) \ |
---|
| 1094 | { \ |
---|
[2056] | 1095 | using lol::op; \ |
---|
[1311] | 1096 | tname<type> ret; \ |
---|
| 1097 | for (size_t n = 0; n < sizeof(b) / sizeof(type); n++) \ |
---|
| 1098 | ret[n] = op(a, b[n]); \ |
---|
| 1099 | return ret; \ |
---|
| 1100 | } |
---|
| 1101 | |
---|
| 1102 | /* |
---|
| 1103 | * vec clamp(vec, vec, vec) |
---|
| 1104 | * vec clamp(vec, vec, scalar) |
---|
| 1105 | * vec clamp(vec, scalar, vec) |
---|
[2054] | 1106 | * vec clamp(vec, scalar, scalar) |
---|
[1311] | 1107 | */ |
---|
[2081] | 1108 | #define LOL_VECTOR_CLAMP_FUN(tname, tprefix, type) \ |
---|
[1311] | 1109 | tprefix \ |
---|
| 1110 | inline tname<type> clamp(tname<type> const &x, \ |
---|
| 1111 | tname<type> const &a, tname<type> const &b) \ |
---|
| 1112 | { \ |
---|
| 1113 | return max(min(x, b), a); \ |
---|
| 1114 | } \ |
---|
| 1115 | \ |
---|
| 1116 | tprefix \ |
---|
| 1117 | inline tname<type> clamp(tname<type> const &x, \ |
---|
| 1118 | type const &a, tname<type> const &b) \ |
---|
| 1119 | { \ |
---|
| 1120 | return max(min(x, b), a); \ |
---|
| 1121 | } \ |
---|
| 1122 | \ |
---|
| 1123 | tprefix \ |
---|
| 1124 | inline tname<type> clamp(tname<type> const &x, \ |
---|
| 1125 | tname<type> const &a, type const &b) \ |
---|
| 1126 | { \ |
---|
| 1127 | return max(min(x, b), a); \ |
---|
[2054] | 1128 | } \ |
---|
| 1129 | \ |
---|
| 1130 | tprefix \ |
---|
| 1131 | inline tname<type> clamp(tname<type> const &x, \ |
---|
| 1132 | type const &a, type const &b) \ |
---|
| 1133 | { \ |
---|
| 1134 | return max(min(x, b), a); \ |
---|
[1311] | 1135 | } |
---|
| 1136 | |
---|
| 1137 | /* |
---|
| 1138 | * bool ==(vec, vec) (also complex & quaternion) |
---|
| 1139 | * bool !=(vec, vec) (also complex & quaternion) |
---|
| 1140 | * bool >=(vec, vec) |
---|
| 1141 | * bool <=(vec, vec) |
---|
| 1142 | * bool >(vec, vec) |
---|
| 1143 | * bool <(vec, vec) |
---|
| 1144 | */ |
---|
[2081] | 1145 | #define LOL_VECTOR_VECTOR_BOOL_OP(tname, op, op2, ret, tprefix, t1, t2) \ |
---|
[1139] | 1146 | tprefix \ |
---|
[1157] | 1147 | inline bool operator op(tname<t1> const &a, tname<t2> const &b) \ |
---|
[1139] | 1148 | { \ |
---|
[1153] | 1149 | for (size_t n = 0; n < sizeof(a) / sizeof(t1); n++) \ |
---|
[1139] | 1150 | if (!(a[n] op2 b[n])) \ |
---|
| 1151 | return !ret; \ |
---|
| 1152 | return ret; \ |
---|
| 1153 | } |
---|
| 1154 | |
---|
[1311] | 1155 | /* |
---|
| 1156 | * vec *(vec, scalar) (also complex & quaternion) |
---|
| 1157 | * vec /(vec, scalar) (also complex & quaternion) |
---|
| 1158 | */ |
---|
[2081] | 1159 | #define LOL_VECTOR_SCALAR_COERCE_OP(tname, op, tprefix, t1, t2, tf) \ |
---|
[1139] | 1160 | tprefix \ |
---|
[1157] | 1161 | inline tname<tf> operator op(tname<t1> const &a, t2 const &val) \ |
---|
[1139] | 1162 | { \ |
---|
[1153] | 1163 | tname<tf> ret; \ |
---|
| 1164 | for (size_t n = 0; n < sizeof(a) / sizeof(t1); n++) \ |
---|
[1139] | 1165 | ret[n] = a[n] op val; \ |
---|
| 1166 | return ret; \ |
---|
[1341] | 1167 | } |
---|
| 1168 | |
---|
| 1169 | /* |
---|
| 1170 | * vec *(scalar, vec) (also complex & quaternion) |
---|
| 1171 | * vec /(scalar, vec) (NOT for complex & quaternion!) |
---|
| 1172 | */ |
---|
[2081] | 1173 | #define LOL_SCALAR_VECTOR_COERCE_OP(tname, op, tprefix, t1, t2, tf) \ |
---|
[1139] | 1174 | tprefix \ |
---|
[1157] | 1175 | inline tname<tf> operator op(t1 const &val, tname<t2> const &a) \ |
---|
[1139] | 1176 | { \ |
---|
[1153] | 1177 | tname<tf> ret; \ |
---|
| 1178 | for (size_t n = 0; n < sizeof(a) / sizeof(t2); n++) \ |
---|
[1139] | 1179 | ret[n] = a[n] op val; \ |
---|
| 1180 | return ret; \ |
---|
[1153] | 1181 | } |
---|
| 1182 | |
---|
[1311] | 1183 | /* |
---|
| 1184 | * vec *=(vec, scalar) (also complex & quaternion) |
---|
| 1185 | * vec /=(vec, scalar) (also complex & quaternion) |
---|
| 1186 | */ |
---|
[2081] | 1187 | #define LOL_VECTOR_SCALAR_OP(tname, op, tprefix, type) \ |
---|
[1139] | 1188 | tprefix \ |
---|
[1157] | 1189 | inline tname<type> operator op##=(tname<type> &a, type const &val) \ |
---|
[1139] | 1190 | { \ |
---|
| 1191 | return a = a op val; \ |
---|
| 1192 | } |
---|
| 1193 | |
---|
[2081] | 1194 | #define LOL_UNARY_OPS(tname, tprefix, type) \ |
---|
[1139] | 1195 | tprefix \ |
---|
[1157] | 1196 | inline tname<type> operator -(tname<type> const &a) \ |
---|
[1139] | 1197 | { \ |
---|
[1151] | 1198 | tname<type> ret; \ |
---|
| 1199 | for (size_t n = 0; n < sizeof(a) / sizeof(type); n++) \ |
---|
[1139] | 1200 | ret[n] = -a[n]; \ |
---|
| 1201 | return ret; \ |
---|
[2081] | 1202 | } |
---|
| 1203 | |
---|
| 1204 | #define LOL_UNARY_FUNS(tname, tprefix, type) \ |
---|
[1139] | 1205 | tprefix \ |
---|
[1369] | 1206 | inline type sqlength(tname<type> const &a) \ |
---|
[1139] | 1207 | { \ |
---|
[1151] | 1208 | type acc = 0; \ |
---|
| 1209 | for (size_t n = 0; n < sizeof(a) / sizeof(type); n++) \ |
---|
[1139] | 1210 | acc += a[n] * a[n]; \ |
---|
| 1211 | return acc; \ |
---|
| 1212 | } \ |
---|
| 1213 | \ |
---|
| 1214 | tprefix \ |
---|
[2057] | 1215 | inline type length(tname<type> const &a) \ |
---|
[1139] | 1216 | { \ |
---|
[2057] | 1217 | return (type)sqrt((double)sqlength(a)); \ |
---|
[1139] | 1218 | } \ |
---|
| 1219 | \ |
---|
| 1220 | tprefix \ |
---|
[2054] | 1221 | inline tname<type> normalize(tname<type> const &a) \ |
---|
[1139] | 1222 | { \ |
---|
[2054] | 1223 | type norm = (type)length(a); \ |
---|
| 1224 | return norm ? a / norm : a * (type)0; \ |
---|
| 1225 | } \ |
---|
| 1226 | \ |
---|
| 1227 | tprefix \ |
---|
| 1228 | inline tname<type> abs(tname<type> const &a) \ |
---|
| 1229 | { \ |
---|
| 1230 | tname<type> ret; \ |
---|
| 1231 | for (size_t n = 0; n < sizeof(a) / sizeof(type); n++) \ |
---|
[2056] | 1232 | ret[n] = lol::abs(a[n]); \ |
---|
[2054] | 1233 | return ret; \ |
---|
[1151] | 1234 | } |
---|
| 1235 | |
---|
[2081] | 1236 | #define LOL_BINARY_NONVECTOR_COERCE_OPS(tname, tprefix, t1, t2, tf) \ |
---|
| 1237 | LOL_VECTOR_VECTOR_COERCE_OP(tname, -, tprefix, t1, t2, tf) \ |
---|
| 1238 | LOL_VECTOR_VECTOR_COERCE_OP(tname, +, tprefix, t1, t2, tf) \ |
---|
[1341] | 1239 | \ |
---|
[2081] | 1240 | LOL_VECTOR_SCALAR_COERCE_OP(tname, *, tprefix, t1, t2, tf) \ |
---|
| 1241 | LOL_VECTOR_SCALAR_COERCE_OP(tname, /, tprefix, t1, t2, tf) \ |
---|
| 1242 | LOL_SCALAR_VECTOR_COERCE_OP(tname, *, tprefix, t1, t2, tf) \ |
---|
[1139] | 1243 | \ |
---|
[2081] | 1244 | LOL_VECTOR_VECTOR_BOOL_OP(tname, ==, ==, true, tprefix, t1, t2) \ |
---|
| 1245 | LOL_VECTOR_VECTOR_BOOL_OP(tname, !=, ==, false, tprefix, t1, t2) |
---|
| 1246 | |
---|
| 1247 | #define LOL_BINARY_NONVECTOR_COERCE_FUNS(tname, tprefix, t1, t2, tf) \ |
---|
[1139] | 1248 | tprefix \ |
---|
[1157] | 1249 | inline tf dot(tname<t1> const &a, tname<t2> const &b) \ |
---|
[1139] | 1250 | { \ |
---|
[1153] | 1251 | tf ret = 0; \ |
---|
| 1252 | for (size_t n = 0; n < sizeof(a) / sizeof(t1); n++) \ |
---|
[1151] | 1253 | ret += a[n] * b[n]; \ |
---|
| 1254 | return ret; \ |
---|
[1833] | 1255 | } \ |
---|
| 1256 | tprefix \ |
---|
| 1257 | inline tname<tf> lerp(tname<t1> const &a, tname<t2> const &b, tf x) \ |
---|
| 1258 | { \ |
---|
| 1259 | tname<tf> ret; \ |
---|
| 1260 | for (size_t n = 0; n < sizeof(a) / sizeof(t1); n++) \ |
---|
| 1261 | ret[n] = a[n] + (a[n] - b[n]) * x; \ |
---|
| 1262 | return ret; \ |
---|
[1139] | 1263 | } |
---|
| 1264 | |
---|
[2081] | 1265 | #define LOL_BINARY_VECTOR_COERCE_OPS(tname, tprefix, t1, t2, tf) \ |
---|
| 1266 | LOL_SCALAR_VECTOR_COERCE_OP(tname, /, tprefix, t1, t2, tf) |
---|
[1796] | 1267 | |
---|
[2081] | 1268 | #define LOL_VEC_3_COERCE_FUNS(tname, tprefix, t1, t2, tf) \ |
---|
[1175] | 1269 | tprefix \ |
---|
| 1270 | inline tname<tf> cross(tname<t1> const &a, tname<t2> const &b) \ |
---|
| 1271 | { \ |
---|
| 1272 | return tname<tf>((tf)(a.y * b.z) - (tf)(a.z * b.y), \ |
---|
| 1273 | (tf)(a.z * b.x) - (tf)(a.x * b.z), \ |
---|
| 1274 | (tf)(a.x * b.y) - (tf)(a.y * b.x)); \ |
---|
| 1275 | } |
---|
| 1276 | |
---|
[2081] | 1277 | #define LOL_BINARY_NONVECTOR_OPS(tname, tprefix, type) \ |
---|
| 1278 | LOL_BINARY_NONVECTOR_COERCE_OPS(tname, tprefix, type, type, type) \ |
---|
[1153] | 1279 | \ |
---|
[2081] | 1280 | LOL_VECTOR_VECTOR_OP(tname, -, tprefix, type) \ |
---|
| 1281 | LOL_VECTOR_VECTOR_OP(tname, +, tprefix, type) \ |
---|
[1311] | 1282 | \ |
---|
[2081] | 1283 | LOL_VECTOR_SCALAR_OP(tname, *, tprefix, type) \ |
---|
| 1284 | LOL_VECTOR_SCALAR_OP(tname, /, tprefix, type) |
---|
[1341] | 1285 | |
---|
[2081] | 1286 | #define LOL_BINARY_NONVECTOR_FUNS(tname, tprefix, type) \ |
---|
| 1287 | LOL_BINARY_NONVECTOR_COERCE_FUNS(tname, tprefix, type, type, type) \ |
---|
[1153] | 1288 | |
---|
[2081] | 1289 | #define LOL_BINARY_VECTOR_OPS(tname, tprefix, type) \ |
---|
| 1290 | LOL_BINARY_VECTOR_COERCE_OPS(tname, tprefix, type, type, type) |
---|
| 1291 | |
---|
| 1292 | #define LOL_BINARY_VECTOR_FUNS(tname, tprefix, type) \ |
---|
| 1293 | LOL_VECTOR_MINMAX_FUN(tname, min, tprefix, type) \ |
---|
| 1294 | LOL_VECTOR_MINMAX_FUN(tname, max, tprefix, type) \ |
---|
| 1295 | LOL_VECTOR_MINMAX_FUN(tname, fmod, tprefix, type) \ |
---|
| 1296 | LOL_VECTOR_CLAMP_FUN(tname, tprefix, type) |
---|
| 1297 | |
---|
| 1298 | #define LOL_VECTOR_COERCE_OPS(tname, tprefix, t1, t2, tf) \ |
---|
| 1299 | LOL_VECTOR_VECTOR_COERCE_OP(tname, *, tprefix, t1, t2, tf) \ |
---|
| 1300 | LOL_VECTOR_VECTOR_COERCE_OP(tname, /, tprefix, t1, t2, tf) \ |
---|
[1153] | 1301 | \ |
---|
[2081] | 1302 | LOL_VECTOR_VECTOR_BOOL_OP(tname, <=, <=, true, tprefix, t1, t2) \ |
---|
| 1303 | LOL_VECTOR_VECTOR_BOOL_OP(tname, >=, >=, true, tprefix, t1, t2) \ |
---|
| 1304 | LOL_VECTOR_VECTOR_BOOL_OP(tname, <, <, true, tprefix, t1, t2) \ |
---|
| 1305 | LOL_VECTOR_VECTOR_BOOL_OP(tname, >, >, true, tprefix, t1, t2) |
---|
[1153] | 1306 | |
---|
[2081] | 1307 | #define LOL_VECTOR_OPS(tname, tprefix, type) \ |
---|
| 1308 | LOL_VECTOR_COERCE_OPS(tname, static, type, type, type) \ |
---|
[1153] | 1309 | \ |
---|
[2081] | 1310 | LOL_VECTOR_VECTOR_OP(tname, *, tprefix, type) \ |
---|
| 1311 | LOL_VECTOR_VECTOR_OP(tname, /, tprefix, type) |
---|
[1139] | 1312 | |
---|
[2081] | 1313 | #define LOL_ALL_NONVECTOR_OPS_AND_FUNS(tname) \ |
---|
| 1314 | LOL_BINARY_NONVECTOR_OPS(tname, template<typename T> static, T) \ |
---|
| 1315 | LOL_BINARY_NONVECTOR_FUNS(tname, template<typename T> static, T) \ |
---|
| 1316 | LOL_UNARY_OPS(tname, template<typename T> static, T) \ |
---|
| 1317 | LOL_UNARY_FUNS(tname, template<typename T> static, T) |
---|
[1139] | 1318 | |
---|
[2081] | 1319 | #define LOL_ALL_VECTOR_OPS_INNER(tname, type) \ |
---|
| 1320 | LOL_BINARY_VECTOR_OPS(tname, static, type) \ |
---|
| 1321 | LOL_BINARY_NONVECTOR_OPS(tname, static, type) \ |
---|
| 1322 | LOL_UNARY_OPS(tname, static, type) \ |
---|
| 1323 | LOL_VECTOR_OPS(tname, static, type) |
---|
[1139] | 1324 | |
---|
[2081] | 1325 | #define LOL_ALL_VECTOR_FUNS_INNER(tname, type) \ |
---|
| 1326 | LOL_BINARY_VECTOR_FUNS(tname, static, type) \ |
---|
| 1327 | LOL_BINARY_NONVECTOR_FUNS(tname, static, type) \ |
---|
| 1328 | LOL_UNARY_FUNS(tname, static, type) |
---|
| 1329 | |
---|
| 1330 | #define LOL_ALL_VECTOR_OPS_AND_FUNS(type) \ |
---|
[1323] | 1331 | namespace x##type \ |
---|
| 1332 | { \ |
---|
[2081] | 1333 | LOL_ALL_VECTOR_OPS_INNER(Vec2, type) \ |
---|
| 1334 | LOL_ALL_VECTOR_OPS_INNER(Vec3, type) \ |
---|
| 1335 | LOL_ALL_VECTOR_OPS_INNER(Vec4, type) \ |
---|
| 1336 | } \ |
---|
| 1337 | using namespace x##type; \ |
---|
| 1338 | LOL_ALL_VECTOR_FUNS_INNER(Vec2, type) \ |
---|
| 1339 | LOL_ALL_VECTOR_FUNS_INNER(Vec3, type) \ |
---|
| 1340 | LOL_ALL_VECTOR_FUNS_INNER(Vec4, type) \ |
---|
| 1341 | LOL_VEC_3_COERCE_FUNS(Vec3, static, type, type, type) |
---|
[1139] | 1342 | |
---|
[2081] | 1343 | #define LOL_VEC_ANY_COERCE_OPS(tname, tlow, thigh) \ |
---|
| 1344 | LOL_BINARY_NONVECTOR_COERCE_OPS(tname, static, tlow, thigh, thigh) \ |
---|
| 1345 | LOL_BINARY_NONVECTOR_COERCE_OPS(tname, static, thigh, tlow, thigh) \ |
---|
| 1346 | LOL_BINARY_VECTOR_COERCE_OPS(tname, static, tlow, thigh, thigh) \ |
---|
| 1347 | LOL_BINARY_VECTOR_COERCE_OPS(tname, static, thigh, tlow, thigh) \ |
---|
[1153] | 1348 | \ |
---|
[2081] | 1349 | LOL_VECTOR_COERCE_OPS(tname, static, tlow, thigh, thigh) \ |
---|
| 1350 | LOL_VECTOR_COERCE_OPS(tname, static, thigh, tlow, thigh) |
---|
[1153] | 1351 | |
---|
[2081] | 1352 | #define LOL_VEC_ANY_COERCE_FUNS(tname, tlow, thigh) \ |
---|
| 1353 | LOL_BINARY_NONVECTOR_COERCE_FUNS(tname, static, tlow, thigh, thigh) \ |
---|
| 1354 | LOL_BINARY_NONVECTOR_COERCE_FUNS(tname, static, thigh, tlow, thigh) |
---|
| 1355 | |
---|
| 1356 | #define LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(tlow, thigh) \ |
---|
[1323] | 1357 | namespace x##tlow##thigh \ |
---|
| 1358 | { \ |
---|
[2081] | 1359 | LOL_VEC_ANY_COERCE_OPS(Vec2, tlow, thigh) \ |
---|
| 1360 | LOL_VEC_ANY_COERCE_OPS(Vec3, tlow, thigh) \ |
---|
| 1361 | LOL_VEC_ANY_COERCE_OPS(Vec4, tlow, thigh) \ |
---|
[1323] | 1362 | } \ |
---|
[2081] | 1363 | LOL_VEC_ANY_COERCE_FUNS(Vec2, tlow, thigh) \ |
---|
| 1364 | LOL_VEC_ANY_COERCE_FUNS(Vec3, tlow, thigh) \ |
---|
| 1365 | LOL_VEC_ANY_COERCE_FUNS(Vec4, tlow, thigh) \ |
---|
| 1366 | LOL_VEC_3_COERCE_FUNS(Vec3, static, tlow, thigh, thigh) \ |
---|
| 1367 | LOL_VEC_3_COERCE_FUNS(Vec3, static, thigh, tlow, thigh) |
---|
[1153] | 1368 | |
---|
[2081] | 1369 | LOL_ALL_NONVECTOR_OPS_AND_FUNS(Cmplx) |
---|
| 1370 | LOL_ALL_NONVECTOR_OPS_AND_FUNS(Quat) |
---|
[1176] | 1371 | |
---|
[1161] | 1372 | /* Disable warning about unary operator applied to unsigned type */ |
---|
| 1373 | #if defined _MSC_VER |
---|
| 1374 | # pragma warning(push) |
---|
| 1375 | # pragma warning(disable: 4146) |
---|
| 1376 | #endif |
---|
| 1377 | |
---|
[2081] | 1378 | LOL_ALL_VECTOR_OPS_AND_FUNS(half) |
---|
| 1379 | LOL_ALL_VECTOR_OPS_AND_FUNS(float) |
---|
| 1380 | LOL_ALL_VECTOR_OPS_AND_FUNS(double) |
---|
| 1381 | LOL_ALL_VECTOR_OPS_AND_FUNS(ldouble) |
---|
| 1382 | LOL_ALL_VECTOR_OPS_AND_FUNS(int8_t) |
---|
| 1383 | LOL_ALL_VECTOR_OPS_AND_FUNS(uint8_t) |
---|
| 1384 | LOL_ALL_VECTOR_OPS_AND_FUNS(int16_t) |
---|
| 1385 | LOL_ALL_VECTOR_OPS_AND_FUNS(uint16_t) |
---|
| 1386 | LOL_ALL_VECTOR_OPS_AND_FUNS(int32_t) |
---|
| 1387 | LOL_ALL_VECTOR_OPS_AND_FUNS(uint32_t) |
---|
| 1388 | LOL_ALL_VECTOR_OPS_AND_FUNS(int64_t) |
---|
| 1389 | LOL_ALL_VECTOR_OPS_AND_FUNS(uint64_t) |
---|
[1151] | 1390 | |
---|
[1161] | 1391 | #if defined _MSC_VER |
---|
| 1392 | # pragma warning(pop) |
---|
| 1393 | #endif |
---|
| 1394 | |
---|
[1159] | 1395 | /* Disable warnings in the >= > etc. operators about comparing signed and |
---|
| 1396 | * unsigned. Ideally we would like to get these warnings only when the |
---|
| 1397 | * inlined operators are actually used, but they seem to be triggered at |
---|
| 1398 | * the code parsing step, so the compiler does not yet know whether they |
---|
| 1399 | * will be used. |
---|
| 1400 | * Also we do this for the whole block of declarations, because GCC prior |
---|
| 1401 | * to 4.6.3 does not appear to support _Pragma() inside a macro. */ |
---|
[1217] | 1402 | #if defined __GNUC__ && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6)) |
---|
[1159] | 1403 | # pragma GCC diagnostic push |
---|
| 1404 | # pragma GCC diagnostic ignored "-Wsign-compare" |
---|
| 1405 | #elif defined _MSC_VER |
---|
| 1406 | # pragma warning(push) |
---|
| 1407 | # pragma warning(disable: 4018) |
---|
| 1408 | #endif |
---|
| 1409 | |
---|
[1176] | 1410 | /* Apply the same coercion rules as in the C++ standard. However, instead |
---|
| 1411 | * of always promoting smaller types to int, we allow int8_t op int16_t to |
---|
| 1412 | * return an int16_t. */ |
---|
[2081] | 1413 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int8_t, uint8_t) |
---|
| 1414 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int8_t, int16_t) |
---|
| 1415 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int8_t, uint16_t) |
---|
| 1416 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int8_t, int32_t) |
---|
| 1417 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int8_t, uint32_t) |
---|
| 1418 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int8_t, int64_t) |
---|
| 1419 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int8_t, uint64_t) |
---|
| 1420 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int8_t, float) |
---|
| 1421 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int8_t, double) |
---|
| 1422 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int8_t, ldouble) |
---|
[1153] | 1423 | |
---|
[2081] | 1424 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint8_t, int16_t) |
---|
| 1425 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint8_t, uint16_t) |
---|
| 1426 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint8_t, int32_t) |
---|
| 1427 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint8_t, uint32_t) |
---|
| 1428 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint8_t, int64_t) |
---|
| 1429 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint8_t, uint64_t) |
---|
| 1430 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint8_t, float) |
---|
| 1431 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint8_t, double) |
---|
| 1432 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint8_t, ldouble) |
---|
[1175] | 1433 | |
---|
[2081] | 1434 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int16_t, uint16_t) |
---|
| 1435 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int16_t, int32_t) |
---|
| 1436 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int16_t, uint32_t) |
---|
| 1437 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int16_t, int64_t) |
---|
| 1438 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int16_t, uint64_t) |
---|
| 1439 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int16_t, float) |
---|
| 1440 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int16_t, double) |
---|
| 1441 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int16_t, ldouble) |
---|
[1175] | 1442 | |
---|
[2081] | 1443 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint16_t, int32_t) |
---|
| 1444 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint16_t, uint32_t) |
---|
| 1445 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint16_t, int64_t) |
---|
| 1446 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint16_t, uint64_t) |
---|
| 1447 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint16_t, float) |
---|
| 1448 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint16_t, double) |
---|
| 1449 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint16_t, ldouble) |
---|
[1175] | 1450 | |
---|
[2081] | 1451 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int32_t, uint32_t) |
---|
| 1452 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int32_t, int64_t) |
---|
| 1453 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int32_t, uint64_t) |
---|
| 1454 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int32_t, float) |
---|
| 1455 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int32_t, double) |
---|
| 1456 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int32_t, ldouble) |
---|
[1175] | 1457 | |
---|
[2081] | 1458 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint32_t, int64_t) |
---|
| 1459 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint32_t, uint64_t) |
---|
| 1460 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint32_t, float) |
---|
| 1461 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint32_t, double) |
---|
| 1462 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint32_t, ldouble) |
---|
[1175] | 1463 | |
---|
[2081] | 1464 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int64_t, uint64_t) |
---|
| 1465 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int64_t, float) |
---|
| 1466 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int64_t, double) |
---|
| 1467 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int64_t, ldouble) |
---|
[1175] | 1468 | |
---|
[2081] | 1469 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint64_t, float) |
---|
| 1470 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint64_t, double) |
---|
| 1471 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint64_t, ldouble) |
---|
[1175] | 1472 | |
---|
[2081] | 1473 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(float, double) |
---|
| 1474 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(float, ldouble) |
---|
[1175] | 1475 | |
---|
[2081] | 1476 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(double, ldouble) |
---|
[1175] | 1477 | |
---|
[1177] | 1478 | /* FIXME: vectors of "half" are deactivated for now, because they |
---|
| 1479 | * induce extremely long compilation times (about 17 seconds per TU). */ |
---|
| 1480 | |
---|
| 1481 | #if 0 |
---|
[1176] | 1482 | /* All integer types are promoted to half; all floating point types |
---|
| 1483 | * cause half to be promoted. */ |
---|
[2081] | 1484 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int8_t, half) |
---|
| 1485 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint8_t, half) |
---|
| 1486 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int16_t, half) |
---|
| 1487 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint16_t, half) |
---|
| 1488 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int32_t, half) |
---|
| 1489 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint32_t, half) |
---|
| 1490 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int64_t, half) |
---|
| 1491 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint64_t, half) |
---|
[1175] | 1492 | |
---|
[2081] | 1493 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(half, float) |
---|
| 1494 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(half, double) |
---|
| 1495 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(half, ldouble) |
---|
[1177] | 1496 | #endif |
---|
[1176] | 1497 | |
---|
| 1498 | /* FIXME: vectors of "real" are deactivated for now, because we do |
---|
| 1499 | * not implement all combinations of operators for these types yet. */ |
---|
| 1500 | |
---|
| 1501 | #if 0 |
---|
| 1502 | /* All types are promoted to real */ |
---|
[2081] | 1503 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int8_t, real) |
---|
| 1504 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint8_t, real) |
---|
| 1505 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int16_t, real) |
---|
| 1506 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint16_t, real) |
---|
| 1507 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int32_t, real) |
---|
| 1508 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint32_t, real) |
---|
| 1509 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(int64_t, real) |
---|
| 1510 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(uint64_t, real) |
---|
| 1511 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(half, real) |
---|
| 1512 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(float, real) |
---|
| 1513 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(double, real) |
---|
| 1514 | LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS(ldouble, real) |
---|
[1176] | 1515 | #endif |
---|
| 1516 | |
---|
[1323] | 1517 | /* Activate all the namespaces that we created. Delaying this activation |
---|
| 1518 | * reduces compilation times significantly. */ |
---|
| 1519 | #define ACTIVATE_COERCE_NAMESPACES_INNER(tlow, thigh) \ |
---|
| 1520 | namespace x##tlow##thigh {} \ |
---|
[2081] | 1521 | using namespace x##tlow##thigh; |
---|
[1323] | 1522 | |
---|
| 1523 | #define ACTIVATE_COERCE_NAMESPACES(tlow) \ |
---|
| 1524 | namespace x##tlow {} \ |
---|
| 1525 | using namespace x##tlow; \ |
---|
| 1526 | ACTIVATE_COERCE_NAMESPACES_INNER(tlow, int8_t) \ |
---|
| 1527 | ACTIVATE_COERCE_NAMESPACES_INNER(tlow, uint8_t) \ |
---|
| 1528 | ACTIVATE_COERCE_NAMESPACES_INNER(tlow, int16_t) \ |
---|
| 1529 | ACTIVATE_COERCE_NAMESPACES_INNER(tlow, uint16_t) \ |
---|
| 1530 | ACTIVATE_COERCE_NAMESPACES_INNER(tlow, int32_t) \ |
---|
| 1531 | ACTIVATE_COERCE_NAMESPACES_INNER(tlow, uint32_t) \ |
---|
| 1532 | ACTIVATE_COERCE_NAMESPACES_INNER(tlow, int64_t) \ |
---|
| 1533 | ACTIVATE_COERCE_NAMESPACES_INNER(tlow, uint64_t) \ |
---|
| 1534 | ACTIVATE_COERCE_NAMESPACES_INNER(tlow, half) \ |
---|
| 1535 | ACTIVATE_COERCE_NAMESPACES_INNER(tlow, float) \ |
---|
| 1536 | ACTIVATE_COERCE_NAMESPACES_INNER(tlow, double) \ |
---|
[2056] | 1537 | ACTIVATE_COERCE_NAMESPACES_INNER(tlow, ldouble) \ |
---|
[1323] | 1538 | ACTIVATE_COERCE_NAMESPACES_INNER(tlow, real) |
---|
| 1539 | |
---|
| 1540 | ACTIVATE_COERCE_NAMESPACES(int8_t) |
---|
| 1541 | ACTIVATE_COERCE_NAMESPACES(uint8_t) |
---|
| 1542 | ACTIVATE_COERCE_NAMESPACES(int16_t) |
---|
| 1543 | ACTIVATE_COERCE_NAMESPACES(uint16_t) |
---|
| 1544 | ACTIVATE_COERCE_NAMESPACES(int32_t) |
---|
| 1545 | ACTIVATE_COERCE_NAMESPACES(uint32_t) |
---|
| 1546 | ACTIVATE_COERCE_NAMESPACES(int64_t) |
---|
| 1547 | ACTIVATE_COERCE_NAMESPACES(uint64_t) |
---|
| 1548 | ACTIVATE_COERCE_NAMESPACES(half) |
---|
| 1549 | ACTIVATE_COERCE_NAMESPACES(float) |
---|
| 1550 | ACTIVATE_COERCE_NAMESPACES(double) |
---|
[2056] | 1551 | ACTIVATE_COERCE_NAMESPACES(ldouble) |
---|
[1323] | 1552 | ACTIVATE_COERCE_NAMESPACES(real) |
---|
| 1553 | |
---|
[1217] | 1554 | #if defined __GNUC__ && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6)) |
---|
[1159] | 1555 | # pragma GCC diagnostic pop |
---|
| 1556 | #elif defined _MSC_VER |
---|
| 1557 | # pragma warning(pop) |
---|
| 1558 | #endif |
---|
| 1559 | |
---|
[2081] | 1560 | #undef LOL_MEMBER_OPS |
---|
[1139] | 1561 | |
---|
[2081] | 1562 | #undef LOL_VECTOR_VECTOR_COERCE_OP |
---|
| 1563 | #undef LOL_VECTOR_VECTOR_OP |
---|
| 1564 | #undef LOL_VECTOR_MINMAX_FUN |
---|
| 1565 | #undef LOL_VECTOR_CLAMP_FUN |
---|
| 1566 | #undef LOL_VECTOR_VECTOR_BOOL_OP |
---|
| 1567 | #undef LOL_VECTOR_SCALAR_COERCE_OP |
---|
| 1568 | #undef LOL_SCALAR_VECTOR_COERCE_OP |
---|
| 1569 | #undef LOL_VECTOR_SCALAR_OP |
---|
| 1570 | |
---|
| 1571 | #undef LOL_BINARY_VECTOR_OPS |
---|
| 1572 | #undef LOL_BINARY_VECTOR_FUNS |
---|
| 1573 | #undef LOL_BINARY_NONVECTOR_OPS |
---|
| 1574 | #undef LOL_BINARY_NONVECTOR_FUNS |
---|
| 1575 | #undef LOL_UNARY_OPS |
---|
| 1576 | #undef LOL_UNARY_FUNS |
---|
| 1577 | #undef LOL_BINARY_NONVECTOR_COERCE_OPS |
---|
| 1578 | #undef LOL_BINARY_NONVECTOR_COERCE_FUNS |
---|
| 1579 | #undef LOL_BINARY_VECTOR_COERCE_OPS |
---|
| 1580 | #undef LOL_VECTOR_COERCE_OPS |
---|
| 1581 | #undef LOL_VEC_3_COERCE_FUNS |
---|
| 1582 | #undef LOL_VEC_ANY_COERCE_OPS |
---|
| 1583 | #undef LOL_VEC_ANY_COERCE_FUNS |
---|
| 1584 | #undef LOL_VECTOR_OPS |
---|
| 1585 | |
---|
| 1586 | #undef LOL_ALL_NONVECTOR_OPS_AND_FUNS |
---|
| 1587 | #undef LOL_ALL_VECTOR_OPS_INNER |
---|
| 1588 | #undef LOL_ALL_VECTOR_FUNS_INNER |
---|
| 1589 | #undef LOL_ALL_VECTOR_OPS_AND_FUNS |
---|
| 1590 | #undef LOL_ALL_VECTOR_COERCE_OPS_AND_FUNS |
---|
| 1591 | |
---|
[1139] | 1592 | /* |
---|
[1381] | 1593 | * Definition of additional functions requiring vector functions |
---|
| 1594 | */ |
---|
| 1595 | |
---|
| 1596 | template<typename T> |
---|
| 1597 | inline Quat<T> Quat<T>::operator *(Quat<T> const &val) const |
---|
| 1598 | { |
---|
| 1599 | Quat<T> ret; |
---|
| 1600 | Vec3<T> v1(x, y, z); |
---|
| 1601 | Vec3<T> v2(val.x, val.y, val.z); |
---|
| 1602 | Vec3<T> v3 = cross(v1, v2) + w * v2 + val.w * v1; |
---|
| 1603 | return Quat<T>(w * val.w - dot(v1, v2), v3.x, v3.y, v3.z); |
---|
| 1604 | } |
---|
| 1605 | |
---|
| 1606 | /* |
---|
[1139] | 1607 | * Magic vector swizzling (part 2/2) |
---|
[1143] | 1608 | * Unfortunately these assignment operators cannot be used for now, because |
---|
| 1609 | * we would also need to override the default copy assignment operator, and |
---|
| 1610 | * in C++98 unions cannot contain such objects. This is why all the swizzling |
---|
| 1611 | * magic objects are marked 'const' even those that could be lvalues. |
---|
[1139] | 1612 | */ |
---|
| 1613 | |
---|
| 1614 | template<typename T, int N> |
---|
[1142] | 1615 | inline Vec2<T> XVec2<T, N>::operator =(Vec2<T> const &that) |
---|
[1139] | 1616 | { |
---|
[1158] | 1617 | for (int i = 0; i < 2; i++) |
---|
| 1618 | *this[i] = that[i]; |
---|
[1139] | 1619 | return *this; |
---|
| 1620 | } |
---|
| 1621 | |
---|
| 1622 | template<typename T, int N> |
---|
[1142] | 1623 | inline Vec3<T> XVec3<T, N>::operator =(Vec3<T> const &that) |
---|
[1139] | 1624 | { |
---|
[1158] | 1625 | for (int i = 0; i < 3; i++) |
---|
| 1626 | *this[i] = that[i]; |
---|
[1139] | 1627 | return *this; |
---|
| 1628 | } |
---|
| 1629 | |
---|
| 1630 | template<typename T, int N> |
---|
[1142] | 1631 | inline Vec4<T> XVec4<T, N>::operator =(Vec4<T> const &that) |
---|
[1139] | 1632 | { |
---|
[1158] | 1633 | for (int i = 0; i < 4; i++) |
---|
| 1634 | *this[i] = that[i]; |
---|
[1139] | 1635 | return *this; |
---|
| 1636 | } |
---|
| 1637 | |
---|
| 1638 | /* |
---|
[1232] | 1639 | * 2×2-element matrices |
---|
| 1640 | */ |
---|
| 1641 | |
---|
| 1642 | template <typename T> struct Mat2 |
---|
| 1643 | { |
---|
| 1644 | inline Mat2() {} |
---|
| 1645 | inline Mat2(Vec2<T> V0, Vec2<T> V1) |
---|
| 1646 | : v0(V0), v1(V1) {} |
---|
| 1647 | |
---|
| 1648 | explicit inline Mat2(T val) |
---|
| 1649 | : v0(val, (T)0), |
---|
| 1650 | v1((T)0, val) {} |
---|
| 1651 | |
---|
[1258] | 1652 | explicit inline Mat2(Mat4<T> const &mat) |
---|
| 1653 | : v0(mat[0].xy), |
---|
| 1654 | v1(mat[1].xy) {} |
---|
| 1655 | |
---|
[1232] | 1656 | inline Vec2<T>& operator[](size_t n) { return (&v0)[n]; } |
---|
| 1657 | inline Vec2<T> const& operator[](size_t n) const { return (&v0)[n]; } |
---|
| 1658 | |
---|
| 1659 | /* Helpers for transformation matrices */ |
---|
| 1660 | static Mat2<T> rotate(T angle); |
---|
| 1661 | |
---|
| 1662 | static inline Mat2<T> rotate(Mat2<T> mat, T angle) |
---|
| 1663 | { |
---|
| 1664 | return rotate(angle) * mat; |
---|
| 1665 | } |
---|
| 1666 | |
---|
| 1667 | void printf() const; |
---|
| 1668 | |
---|
| 1669 | template<class U> |
---|
| 1670 | friend std::ostream &operator<<(std::ostream &stream, Mat2<U> const &m); |
---|
| 1671 | |
---|
| 1672 | inline Mat2<T> operator +(Mat2<T> const m) const |
---|
| 1673 | { |
---|
| 1674 | return Mat2<T>(v0 + m[0], v1 + m[1]); |
---|
| 1675 | } |
---|
| 1676 | |
---|
| 1677 | inline Mat2<T> operator +=(Mat2<T> const m) |
---|
| 1678 | { |
---|
| 1679 | return *this = *this + m; |
---|
| 1680 | } |
---|
| 1681 | |
---|
| 1682 | inline Mat2<T> operator -(Mat2<T> const m) const |
---|
| 1683 | { |
---|
| 1684 | return Mat2<T>(v0 - m[0], v1 - m[1]); |
---|
| 1685 | } |
---|
| 1686 | |
---|
| 1687 | inline Mat2<T> operator -=(Mat2<T> const m) |
---|
| 1688 | { |
---|
| 1689 | return *this = *this - m; |
---|
| 1690 | } |
---|
| 1691 | |
---|
| 1692 | inline Mat2<T> operator *(Mat2<T> const m) const |
---|
| 1693 | { |
---|
| 1694 | return Mat2<T>(*this * m[0], *this * m[1]); |
---|
| 1695 | } |
---|
| 1696 | |
---|
| 1697 | inline Mat2<T> operator *=(Mat2<T> const m) |
---|
| 1698 | { |
---|
| 1699 | return *this = *this * m; |
---|
| 1700 | } |
---|
| 1701 | |
---|
| 1702 | inline Vec2<T> operator *(Vec2<T> const m) const |
---|
| 1703 | { |
---|
| 1704 | Vec2<T> ret; |
---|
| 1705 | for (int j = 0; j < 2; j++) |
---|
| 1706 | { |
---|
| 1707 | T tmp = 0; |
---|
| 1708 | for (int k = 0; k < 2; k++) |
---|
| 1709 | tmp += (*this)[k][j] * m[k]; |
---|
| 1710 | ret[j] = tmp; |
---|
| 1711 | } |
---|
| 1712 | return ret; |
---|
| 1713 | } |
---|
| 1714 | |
---|
| 1715 | Vec2<T> v0, v1; |
---|
| 1716 | }; |
---|
| 1717 | |
---|
| 1718 | /* |
---|
| 1719 | * 3×3-element matrices |
---|
| 1720 | */ |
---|
| 1721 | |
---|
| 1722 | template <typename T> struct Mat3 |
---|
| 1723 | { |
---|
| 1724 | inline Mat3() {} |
---|
| 1725 | inline Mat3(Vec3<T> V0, Vec3<T> V1, Vec3<T> V2) |
---|
| 1726 | : v0(V0), v1(V1), v2(V2) {} |
---|
| 1727 | |
---|
| 1728 | explicit inline Mat3(T val) |
---|
| 1729 | : v0(val, (T)0, (T)0), |
---|
| 1730 | v1((T)0, val, (T)0), |
---|
| 1731 | v2((T)0, (T)0, val) {} |
---|
| 1732 | |
---|
[1264] | 1733 | explicit inline Mat3(Mat2<T> mat) |
---|
| 1734 | : v0(mat[0], (T)0), |
---|
| 1735 | v1(mat[1], (T)0), |
---|
| 1736 | v2((T)0, (T)0, (T)0) {} |
---|
| 1737 | |
---|
| 1738 | explicit inline Mat3(Mat2<T> mat, T val) |
---|
| 1739 | : v0(Vec3<T>(mat[0], (T)0)), |
---|
| 1740 | v1(Vec3<T>(mat[1], (T)0)), |
---|
| 1741 | v2((T)0, (T)0, val) {} |
---|
| 1742 | |
---|
[1258] | 1743 | explicit inline Mat3(Mat4<T> const &mat) |
---|
| 1744 | : v0(mat[0].xyz), |
---|
| 1745 | v1(mat[1].xyz), |
---|
| 1746 | v2(mat[2].xyz) {} |
---|
| 1747 | |
---|
[1320] | 1748 | explicit Mat3(Quat<T> const &q); |
---|
| 1749 | |
---|
[1232] | 1750 | inline Vec3<T>& operator[](size_t n) { return (&v0)[n]; } |
---|
| 1751 | inline Vec3<T> const& operator[](size_t n) const { return (&v0)[n]; } |
---|
| 1752 | |
---|
| 1753 | /* Helpers for transformation matrices */ |
---|
[1947] | 1754 | static Mat3<T> scale(T x); |
---|
[1272] | 1755 | static Mat3<T> scale(T x, T y, T z); |
---|
| 1756 | static Mat3<T> scale(Vec3<T> v); |
---|
[1232] | 1757 | static Mat3<T> rotate(T angle, T x, T y, T z); |
---|
| 1758 | static Mat3<T> rotate(T angle, Vec3<T> v); |
---|
| 1759 | |
---|
[1352] | 1760 | static Mat3<T> fromeuler_xyz(Vec3<T> const &v); |
---|
| 1761 | static Mat3<T> fromeuler_xzy(Vec3<T> const &v); |
---|
| 1762 | static Mat3<T> fromeuler_yxz(Vec3<T> const &v); |
---|
| 1763 | static Mat3<T> fromeuler_yzx(Vec3<T> const &v); |
---|
| 1764 | static Mat3<T> fromeuler_zxy(Vec3<T> const &v); |
---|
| 1765 | static Mat3<T> fromeuler_zyx(Vec3<T> const &v); |
---|
| 1766 | static Mat3<T> fromeuler_xyz(T phi, T theta, T psi); |
---|
| 1767 | static Mat3<T> fromeuler_xzy(T phi, T theta, T psi); |
---|
| 1768 | static Mat3<T> fromeuler_yxz(T phi, T theta, T psi); |
---|
| 1769 | static Mat3<T> fromeuler_yzx(T phi, T theta, T psi); |
---|
| 1770 | static Mat3<T> fromeuler_zxy(T phi, T theta, T psi); |
---|
| 1771 | static Mat3<T> fromeuler_zyx(T phi, T theta, T psi); |
---|
| 1772 | |
---|
| 1773 | static Mat3<T> fromeuler_xyx(Vec3<T> const &v); |
---|
| 1774 | static Mat3<T> fromeuler_xzx(Vec3<T> const &v); |
---|
| 1775 | static Mat3<T> fromeuler_yxy(Vec3<T> const &v); |
---|
| 1776 | static Mat3<T> fromeuler_yzy(Vec3<T> const &v); |
---|
| 1777 | static Mat3<T> fromeuler_zxz(Vec3<T> const &v); |
---|
| 1778 | static Mat3<T> fromeuler_zyz(Vec3<T> const &v); |
---|
| 1779 | static Mat3<T> fromeuler_xyx(T phi, T theta, T psi); |
---|
| 1780 | static Mat3<T> fromeuler_xzx(T phi, T theta, T psi); |
---|
| 1781 | static Mat3<T> fromeuler_yxy(T phi, T theta, T psi); |
---|
| 1782 | static Mat3<T> fromeuler_yzy(T phi, T theta, T psi); |
---|
| 1783 | static Mat3<T> fromeuler_zxz(T phi, T theta, T psi); |
---|
| 1784 | static Mat3<T> fromeuler_zyz(T phi, T theta, T psi); |
---|
| 1785 | |
---|
[1232] | 1786 | static inline Mat3<T> rotate(Mat3<T> mat, T angle, Vec3<T> v) |
---|
| 1787 | { |
---|
| 1788 | return rotate(angle, v) * mat; |
---|
| 1789 | } |
---|
| 1790 | |
---|
| 1791 | void printf() const; |
---|
| 1792 | |
---|
| 1793 | template<class U> |
---|
| 1794 | friend std::ostream &operator<<(std::ostream &stream, Mat3<U> const &m); |
---|
| 1795 | |
---|
| 1796 | inline Mat3<T> operator +(Mat3<T> const m) const |
---|
| 1797 | { |
---|
| 1798 | return Mat3<T>(v0 + m[0], v1 + m[1], v2 + m[2]); |
---|
| 1799 | } |
---|
| 1800 | |
---|
| 1801 | inline Mat3<T> operator +=(Mat3<T> const m) |
---|
| 1802 | { |
---|
| 1803 | return *this = *this + m; |
---|
| 1804 | } |
---|
| 1805 | |
---|
| 1806 | inline Mat3<T> operator -(Mat3<T> const m) const |
---|
| 1807 | { |
---|
| 1808 | return Mat3<T>(v0 - m[0], v1 - m[1], v2 - m[2]); |
---|
| 1809 | } |
---|
| 1810 | |
---|
| 1811 | inline Mat3<T> operator -=(Mat3<T> const m) |
---|
| 1812 | { |
---|
| 1813 | return *this = *this - m; |
---|
| 1814 | } |
---|
| 1815 | |
---|
| 1816 | inline Mat3<T> operator *(Mat3<T> const m) const |
---|
| 1817 | { |
---|
| 1818 | return Mat3<T>(*this * m[0], *this * m[1], *this * m[2]); |
---|
| 1819 | } |
---|
| 1820 | |
---|
| 1821 | inline Mat3<T> operator *=(Mat3<T> const m) |
---|
| 1822 | { |
---|
| 1823 | return *this = *this * m; |
---|
| 1824 | } |
---|
| 1825 | |
---|
| 1826 | inline Vec3<T> operator *(Vec3<T> const m) const |
---|
| 1827 | { |
---|
| 1828 | Vec3<T> ret; |
---|
| 1829 | for (int j = 0; j < 3; j++) |
---|
| 1830 | { |
---|
| 1831 | T tmp = 0; |
---|
| 1832 | for (int k = 0; k < 3; k++) |
---|
| 1833 | tmp += (*this)[k][j] * m[k]; |
---|
| 1834 | ret[j] = tmp; |
---|
| 1835 | } |
---|
| 1836 | return ret; |
---|
| 1837 | } |
---|
| 1838 | |
---|
| 1839 | Vec3<T> v0, v1, v2; |
---|
| 1840 | }; |
---|
| 1841 | |
---|
| 1842 | /* |
---|
[1139] | 1843 | * 4×4-element matrices |
---|
| 1844 | */ |
---|
| 1845 | |
---|
| 1846 | template <typename T> struct Mat4 |
---|
| 1847 | { |
---|
| 1848 | inline Mat4() {} |
---|
| 1849 | inline Mat4(Vec4<T> V0, Vec4<T> V1, Vec4<T> V2, Vec4<T> V3) |
---|
| 1850 | : v0(V0), v1(V1), v2(V2), v3(V3) {} |
---|
| 1851 | |
---|
| 1852 | explicit inline Mat4(T val) |
---|
| 1853 | : v0(val, (T)0, (T)0, (T)0), |
---|
| 1854 | v1((T)0, val, (T)0, (T)0), |
---|
| 1855 | v2((T)0, (T)0, val, (T)0), |
---|
| 1856 | v3((T)0, (T)0, (T)0, val) {} |
---|
| 1857 | |
---|
[1264] | 1858 | explicit inline Mat4(Mat2<T> mat) |
---|
| 1859 | : v0(mat[0], (T)0, (T)0), |
---|
| 1860 | v1(mat[1], (T)0, (T)0), |
---|
| 1861 | v2((T)0, (T)0, (T)0, (T)0), |
---|
| 1862 | v3((T)0, (T)0, (T)0, (T)0) {} |
---|
| 1863 | |
---|
| 1864 | explicit inline Mat4(Mat2<T> mat, T val1, T val2) |
---|
| 1865 | : v0(mat[0], (T)0, (T)0), |
---|
| 1866 | v1(mat[1], (T)0, (T)0), |
---|
| 1867 | v2((T)0, (T)0, val1, (T)0), |
---|
| 1868 | v3((T)0, (T)0, (T)0, val2) {} |
---|
| 1869 | |
---|
| 1870 | explicit inline Mat4(Mat3<T> mat) |
---|
| 1871 | : v0(mat[0], (T)0), |
---|
| 1872 | v1(mat[1], (T)0), |
---|
| 1873 | v2(mat[2], (T)0), |
---|
| 1874 | v3((T)0, (T)0, (T)0, (T)0) {} |
---|
| 1875 | |
---|
| 1876 | explicit inline Mat4(Mat3<T> mat, T val) |
---|
| 1877 | : v0(mat[0], (T)0), |
---|
| 1878 | v1(mat[1], (T)0), |
---|
| 1879 | v2(mat[2], (T)0), |
---|
| 1880 | v3((T)0, (T)0, (T)0, val) {} |
---|
| 1881 | |
---|
[1320] | 1882 | explicit Mat4(Quat<T> const &q); |
---|
| 1883 | |
---|
[1209] | 1884 | inline Vec4<T>& operator[](size_t n) { return (&v0)[n]; } |
---|
| 1885 | inline Vec4<T> const& operator[](size_t n) const { return (&v0)[n]; } |
---|
[1139] | 1886 | |
---|
| 1887 | /* Helpers for transformation matrices */ |
---|
| 1888 | static Mat4<T> translate(T x, T y, T z); |
---|
| 1889 | static Mat4<T> translate(Vec3<T> v); |
---|
| 1890 | |
---|
[1947] | 1891 | static inline Mat4<T> scale(T x) |
---|
| 1892 | { |
---|
| 1893 | return Mat4<T>(Mat3<T>::scale(x), (T)1); |
---|
| 1894 | } |
---|
| 1895 | |
---|
[1272] | 1896 | static inline Mat4<T> scale(T x, T y, T z) |
---|
| 1897 | { |
---|
| 1898 | return Mat4<T>(Mat3<T>::scale(x, y, z), (T)1); |
---|
| 1899 | } |
---|
| 1900 | |
---|
| 1901 | static inline Mat4<T> scale(Vec3<T> v) |
---|
| 1902 | { |
---|
| 1903 | return Mat4<T>(Mat3<T>::scale(v), (T)1); |
---|
| 1904 | } |
---|
| 1905 | |
---|
[1257] | 1906 | static inline Mat4<T> translate(Mat4<T> const &mat, Vec3<T> v) |
---|
[1139] | 1907 | { |
---|
| 1908 | return translate(v) * mat; |
---|
| 1909 | } |
---|
| 1910 | |
---|
[1270] | 1911 | static inline Mat4<T> rotate(T angle, T x, T y, T z) |
---|
| 1912 | { |
---|
| 1913 | return Mat4<T>(Mat3<T>::rotate(angle, x, y, z), (T)1); |
---|
| 1914 | } |
---|
| 1915 | |
---|
| 1916 | static inline Mat4<T> rotate(T angle, Vec3<T> v) |
---|
| 1917 | { |
---|
| 1918 | return Mat4<T>(Mat3<T>::rotate(angle, v), (T)1); |
---|
| 1919 | } |
---|
| 1920 | |
---|
[1257] | 1921 | static inline Mat4<T> rotate(Mat4<T> &mat, T angle, Vec3<T> v) |
---|
[1139] | 1922 | { |
---|
| 1923 | return rotate(angle, v) * mat; |
---|
| 1924 | } |
---|
| 1925 | |
---|
[1352] | 1926 | static Mat4<T> fromeuler_xyz(Vec3<T> const &v); |
---|
| 1927 | static Mat4<T> fromeuler_xzy(Vec3<T> const &v); |
---|
| 1928 | static Mat4<T> fromeuler_yxz(Vec3<T> const &v); |
---|
| 1929 | static Mat4<T> fromeuler_yzx(Vec3<T> const &v); |
---|
| 1930 | static Mat4<T> fromeuler_zxy(Vec3<T> const &v); |
---|
| 1931 | static Mat4<T> fromeuler_zyx(Vec3<T> const &v); |
---|
| 1932 | static Mat4<T> fromeuler_xyz(T phi, T theta, T psi); |
---|
| 1933 | static Mat4<T> fromeuler_xzy(T phi, T theta, T psi); |
---|
| 1934 | static Mat4<T> fromeuler_yxz(T phi, T theta, T psi); |
---|
| 1935 | static Mat4<T> fromeuler_yzx(T phi, T theta, T psi); |
---|
| 1936 | static Mat4<T> fromeuler_zxy(T phi, T theta, T psi); |
---|
| 1937 | static Mat4<T> fromeuler_zyx(T phi, T theta, T psi); |
---|
[1315] | 1938 | |
---|
[1352] | 1939 | static Mat4<T> fromeuler_xyx(Vec3<T> const &v); |
---|
| 1940 | static Mat4<T> fromeuler_xzx(Vec3<T> const &v); |
---|
| 1941 | static Mat4<T> fromeuler_yxy(Vec3<T> const &v); |
---|
| 1942 | static Mat4<T> fromeuler_yzy(Vec3<T> const &v); |
---|
| 1943 | static Mat4<T> fromeuler_zxz(Vec3<T> const &v); |
---|
| 1944 | static Mat4<T> fromeuler_zyz(Vec3<T> const &v); |
---|
| 1945 | static Mat4<T> fromeuler_xyx(T phi, T theta, T psi); |
---|
| 1946 | static Mat4<T> fromeuler_xzx(T phi, T theta, T psi); |
---|
| 1947 | static Mat4<T> fromeuler_yxy(T phi, T theta, T psi); |
---|
| 1948 | static Mat4<T> fromeuler_yzy(T phi, T theta, T psi); |
---|
| 1949 | static Mat4<T> fromeuler_zxz(T phi, T theta, T psi); |
---|
| 1950 | static Mat4<T> fromeuler_zyz(T phi, T theta, T psi); |
---|
[1315] | 1951 | |
---|
[1139] | 1952 | /* Helpers for view matrices */ |
---|
| 1953 | static Mat4<T> lookat(Vec3<T> eye, Vec3<T> center, Vec3<T> up); |
---|
| 1954 | |
---|
| 1955 | /* Helpers for projection matrices */ |
---|
| 1956 | static Mat4<T> ortho(T left, T right, T bottom, T top, T near, T far); |
---|
[1350] | 1957 | static Mat4<T> ortho(T width, T height, T near, T far); |
---|
[1139] | 1958 | static Mat4<T> frustum(T left, T right, T bottom, T top, T near, T far); |
---|
| 1959 | static Mat4<T> perspective(T fov_y, T width, T height, T near, T far); |
---|
| 1960 | |
---|
| 1961 | void printf() const; |
---|
| 1962 | |
---|
| 1963 | template<class U> |
---|
| 1964 | friend std::ostream &operator<<(std::ostream &stream, Mat4<U> const &m); |
---|
| 1965 | |
---|
[1257] | 1966 | inline Mat4<T> operator +(Mat4<T> const &m) const |
---|
[1139] | 1967 | { |
---|
| 1968 | return Mat4<T>(v0 + m[0], v1 + m[1], v2 + m[2], v3 + m[3]); |
---|
| 1969 | } |
---|
| 1970 | |
---|
[1257] | 1971 | inline Mat4<T> operator +=(Mat4<T> const &m) |
---|
[1139] | 1972 | { |
---|
| 1973 | return *this = *this + m; |
---|
| 1974 | } |
---|
| 1975 | |
---|
[1257] | 1976 | inline Mat4<T> operator -(Mat4<T> const &m) const |
---|
[1139] | 1977 | { |
---|
| 1978 | return Mat4<T>(v0 - m[0], v1 - m[1], v2 - m[2], v3 - m[3]); |
---|
| 1979 | } |
---|
| 1980 | |
---|
[1257] | 1981 | inline Mat4<T> operator -=(Mat4<T> const &m) |
---|
[1139] | 1982 | { |
---|
| 1983 | return *this = *this - m; |
---|
| 1984 | } |
---|
| 1985 | |
---|
[1257] | 1986 | inline Mat4<T> operator *(Mat4<T> const &m) const |
---|
[1139] | 1987 | { |
---|
| 1988 | return Mat4<T>(*this * m[0], *this * m[1], *this * m[2], *this * m[3]); |
---|
| 1989 | } |
---|
| 1990 | |
---|
[1257] | 1991 | inline Mat4<T> operator *=(Mat4<T> const &m) |
---|
[1139] | 1992 | { |
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| 1993 | return *this = *this * m; |
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| 1994 | } |
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| 1995 | |
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[1257] | 1996 | inline Vec4<T> operator *(Vec4<T> const &m) const |
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[1139] | 1997 | { |
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| 1998 | Vec4<T> ret; |
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| 1999 | for (int j = 0; j < 4; j++) |
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| 2000 | { |
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| 2001 | T tmp = 0; |
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| 2002 | for (int k = 0; k < 4; k++) |
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| 2003 | tmp += (*this)[k][j] * m[k]; |
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| 2004 | ret[j] = tmp; |
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| 2005 | } |
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| 2006 | return ret; |
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| 2007 | } |
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| 2008 | |
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| 2009 | Vec4<T> v0, v1, v2, v3; |
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| 2010 | }; |
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| 2011 | |
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[1257] | 2012 | template<typename T> T determinant(Mat2<T> const &); |
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| 2013 | template<typename T> T determinant(Mat3<T> const &); |
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| 2014 | template<typename T> T determinant(Mat4<T> const &); |
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| 2015 | |
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| 2016 | template<typename T> Mat2<T> transpose(Mat2<T> const &); |
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| 2017 | template<typename T> Mat3<T> transpose(Mat3<T> const &); |
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| 2018 | template<typename T> Mat4<T> transpose(Mat4<T> const &); |
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| 2019 | |
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| 2020 | template<typename T> Mat2<T> inverse(Mat2<T> const &); |
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| 2021 | template<typename T> Mat3<T> inverse(Mat3<T> const &); |
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| 2022 | template<typename T> Mat4<T> inverse(Mat4<T> const &); |
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| 2023 | |
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[1139] | 2024 | /* |
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| 2025 | * Arbitrarily-sized square matrices; for now this only supports |
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| 2026 | * naive inversion and is used for the Remez inversion method. |
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| 2027 | */ |
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| 2028 | |
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| 2029 | template<int N, typename T> struct Mat |
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| 2030 | { |
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| 2031 | inline Mat<N, T>() {} |
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| 2032 | |
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| 2033 | Mat(T x) |
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| 2034 | { |
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| 2035 | for (int j = 0; j < N; j++) |
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| 2036 | for (int i = 0; i < N; i++) |
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| 2037 | if (i == j) |
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| 2038 | m[i][j] = x; |
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| 2039 | else |
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| 2040 | m[i][j] = 0; |
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| 2041 | } |
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| 2042 | |
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| 2043 | /* Naive matrix inversion */ |
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| 2044 | Mat<N, T> inv() const |
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| 2045 | { |
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| 2046 | Mat a = *this, b((T)1); |
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| 2047 | |
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| 2048 | /* Inversion method: iterate through all columns and make sure |
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| 2049 | * all the terms are 1 on the diagonal and 0 everywhere else */ |
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| 2050 | for (int i = 0; i < N; i++) |
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| 2051 | { |
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| 2052 | /* If the expected coefficient is zero, add one of |
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| 2053 | * the other lines. The first we meet will do. */ |
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| 2054 | if (!a.m[i][i]) |
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| 2055 | { |
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| 2056 | for (int j = i + 1; j < N; j++) |
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| 2057 | { |
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| 2058 | if (!a.m[i][j]) |
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| 2059 | continue; |
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| 2060 | /* Add row j to row i */ |
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| 2061 | for (int n = 0; n < N; n++) |
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| 2062 | { |
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| 2063 | a.m[n][i] += a.m[n][j]; |
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| 2064 | b.m[n][i] += b.m[n][j]; |
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| 2065 | } |
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| 2066 | break; |
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| 2067 | } |
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| 2068 | } |
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| 2069 | |
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| 2070 | /* Now we know the diagonal term is non-zero. Get its inverse |
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| 2071 | * and use that to nullify all other terms in the column */ |
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| 2072 | T x = (T)1 / a.m[i][i]; |
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| 2073 | for (int j = 0; j < N; j++) |
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| 2074 | { |
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| 2075 | if (j == i) |
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| 2076 | continue; |
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| 2077 | T mul = x * a.m[i][j]; |
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| 2078 | for (int n = 0; n < N; n++) |
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| 2079 | { |
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| 2080 | a.m[n][j] -= mul * a.m[n][i]; |
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| 2081 | b.m[n][j] -= mul * b.m[n][i]; |
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| 2082 | } |
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| 2083 | } |
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| 2084 | |
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| 2085 | /* Finally, ensure the diagonal term is 1 */ |
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| 2086 | for (int n = 0; n < N; n++) |
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| 2087 | { |
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| 2088 | a.m[n][i] *= x; |
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| 2089 | b.m[n][i] *= x; |
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| 2090 | } |
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| 2091 | } |
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| 2092 | |
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| 2093 | return b; |
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| 2094 | } |
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| 2095 | |
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| 2096 | T m[N][N]; |
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| 2097 | }; |
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| 2098 | |
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| 2099 | } /* namespace lol */ |
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| 2100 | |
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| 2101 | #endif // __LOL_MATH_VECTOR_H__ |
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| 2102 | |
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